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Finding the Fourth Proportional to 953, 1,429.68 and 542.72

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Solution

The fourth proportional to 953, 1,429.68 and 542.72 is: 814.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    953 : 1,429.68 = 542.72 : x
  2. Step 2: Convert to fraction form
    953/1,429.68 = 542.72/x
  3. Step 3: Cross multiply
    953x = 1,429.68 × 542.72
  4. Step 4: Simplify right side
    953x = 775,915.93
  5. Step 5: Solve for x
    x = 775,915.93/953
  6. Step 6: Final answer
    x = 814.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.