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Finding the Fourth Proportional to 1,354.71, 2,031.45 and 532.35

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Solution

The fourth proportional to 1,354.71, 2,031.45 and 532.35 is: 798.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.71 : 2,031.45 = 532.35 : x
  2. Step 2: Convert to fraction form
    1,354.71/2,031.45 = 532.35/x
  3. Step 3: Cross multiply
    1,354.71x = 2,031.45 × 532.35
  4. Step 4: Simplify right side
    1,354.71x = 1,081,442.41
  5. Step 5: Solve for x
    x = 1,081,442.41/1,354.71
  6. Step 6: Final answer
    x = 798.28

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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.