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Finding the Fourth Proportional to 1,194.76, 1,646.10 and 899.44

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Solution

The fourth proportional to 1,194.76, 1,646.10 and 899.44 is: 1,239.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.76 : 1,646.10 = 899.44 : x
  2. Step 2: Convert to fraction form
    1,194.76/1,646.10 = 899.44/x
  3. Step 3: Cross multiply
    1,194.76x = 1,646.10 × 899.44
  4. Step 4: Simplify right side
    1,194.76x = 1,480,568.18
  5. Step 5: Solve for x
    x = 1,480,568.18/1,194.76
  6. Step 6: Final answer
    x = 1,239.22

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.