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Finding the Fourth Proportional to 689.59, 952 and 531.88

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Solution

The fourth proportional to 689.59, 952 and 531.88 is: 734.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.59 : 952 = 531.88 : x
  2. Step 2: Convert to fraction form
    689.59/952 = 531.88/x
  3. Step 3: Cross multiply
    689.59x = 952 × 531.88
  4. Step 4: Simplify right side
    689.59x = 506,345
  5. Step 5: Solve for x
    x = 506,345/689.59
  6. Step 6: Final answer
    x = 734.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.