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Finding the Fourth Proportional to 1,432.56, 2,149.10 and 508.66

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Solution

The fourth proportional to 1,432.56, 2,149.10 and 508.66 is: 763.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.56 : 2,149.10 = 508.66 : x
  2. Step 2: Convert to fraction form
    1,432.56/2,149.10 = 508.66/x
  3. Step 3: Cross multiply
    1,432.56x = 2,149.10 × 508.66
  4. Step 4: Simplify right side
    1,432.56x = 1,093,161.21
  5. Step 5: Solve for x
    x = 1,093,161.21/1,432.56
  6. Step 6: Final answer
    x = 763.08

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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.