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Finding the Fourth Proportional to 658.14, 985.77 and 529.02

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Solution

The fourth proportional to 658.14, 985.77 and 529.02 is: 792.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.14 : 985.77 = 529.02 : x
  2. Step 2: Convert to fraction form
    658.14/985.77 = 529.02/x
  3. Step 3: Cross multiply
    658.14x = 985.77 × 529.02
  4. Step 4: Simplify right side
    658.14x = 521,492.05
  5. Step 5: Solve for x
    x = 521,492.05/658.14
  6. Step 6: Final answer
    x = 792.37

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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.