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Finding the Fourth Proportional to 691.56, 953.40 and 502.32

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Solution

The fourth proportional to 691.56, 953.40 and 502.32 is: 692.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.56 : 953.40 = 502.32 : x
  2. Step 2: Convert to fraction form
    691.56/953.40 = 502.32/x
  3. Step 3: Cross multiply
    691.56x = 953.40 × 502.32
  4. Step 4: Simplify right side
    691.56x = 478,911.89
  5. Step 5: Solve for x
    x = 478,911.89/691.56
  6. Step 6: Final answer
    x = 692.51

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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.