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Finding the Fourth Proportional to 1,355.10, 2,031.18 and 477.26

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Solution

The fourth proportional to 1,355.10, 2,031.18 and 477.26 is: 715.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.10 : 2,031.18 = 477.26 : x
  2. Step 2: Convert to fraction form
    1,355.10/2,031.18 = 477.26/x
  3. Step 3: Cross multiply
    1,355.10x = 2,031.18 × 477.26
  4. Step 4: Simplify right side
    1,355.10x = 969,400.97
  5. Step 5: Solve for x
    x = 969,400.97/1,355.10
  6. Step 6: Final answer
    x = 715.37

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