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Finding the Fourth Proportional to 691.54, 953.98 and 534.20

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Solution

The fourth proportional to 691.54, 953.98 and 534.20 is: 736.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.54 : 953.98 = 534.20 : x
  2. Step 2: Convert to fraction form
    691.54/953.98 = 534.20/x
  3. Step 3: Cross multiply
    691.54x = 953.98 × 534.20
  4. Step 4: Simplify right side
    691.54x = 509,610.01
  5. Step 5: Solve for x
    x = 509,610.01/691.54
  6. Step 6: Final answer
    x = 736.92

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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.