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Finding the Fourth Proportional to 689.34, 952.11 and 559.02

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Solution

The fourth proportional to 689.34, 952.11 and 559.02 is: 772.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.34 : 952.11 = 559.02 : x
  2. Step 2: Convert to fraction form
    689.34/952.11 = 559.02/x
  3. Step 3: Cross multiply
    689.34x = 952.11 × 559.02
  4. Step 4: Simplify right side
    689.34x = 532,248.53
  5. Step 5: Solve for x
    x = 532,248.53/689.34
  6. Step 6: Final answer
    x = 772.11

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Why These Related Problems?

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