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Finding the Fourth Proportional to 1,419.41, 2,129.11 and 393.41

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Solution

The fourth proportional to 1,419.41, 2,129.11 and 393.41 is: 590.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.41 : 2,129.11 = 393.41 : x
  2. Step 2: Convert to fraction form
    1,419.41/2,129.11 = 393.41/x
  3. Step 3: Cross multiply
    1,419.41x = 2,129.11 × 393.41
  4. Step 4: Simplify right side
    1,419.41x = 837,602.52
  5. Step 5: Solve for x
    x = 837,602.52/1,419.41
  6. Step 6: Final answer
    x = 590.11

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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.