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Finding the Fourth Proportional to 1,193.18, 1,788.14 and 886.19

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Solution

The fourth proportional to 1,193.18, 1,788.14 and 886.19 is: 1,328.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.18 : 1,788.14 = 886.19 : x
  2. Step 2: Convert to fraction form
    1,193.18/1,788.14 = 886.19/x
  3. Step 3: Cross multiply
    1,193.18x = 1,788.14 × 886.19
  4. Step 4: Simplify right side
    1,193.18x = 1,584,618.41
  5. Step 5: Solve for x
    x = 1,584,618.41/1,193.18
  6. Step 6: Final answer
    x = 1,328.07

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.