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Finding the Fourth Proportional to 1,354.11, 2,031.48 and 532.15

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Solution

The fourth proportional to 1,354.11, 2,031.48 and 532.15 is: 798.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.11 : 2,031.48 = 532.15 : x
  2. Step 2: Convert to fraction form
    1,354.11/2,031.48 = 532.15/x
  3. Step 3: Cross multiply
    1,354.11x = 2,031.48 × 532.15
  4. Step 4: Simplify right side
    1,354.11x = 1,081,052.08
  5. Step 5: Solve for x
    x = 1,081,052.08/1,354.11
  6. Step 6: Final answer
    x = 798.35

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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.