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Finding the Fourth Proportional to 1,024.57, 1,534.47 and 658.27

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Solution

The fourth proportional to 1,024.57, 1,534.47 and 658.27 is: 985.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.57 : 1,534.47 = 658.27 : x
  2. Step 2: Convert to fraction form
    1,024.57/1,534.47 = 658.27/x
  3. Step 3: Cross multiply
    1,024.57x = 1,534.47 × 658.27
  4. Step 4: Simplify right side
    1,024.57x = 1,010,095.57
  5. Step 5: Solve for x
    x = 1,010,095.57/1,024.57
  6. Step 6: Final answer
    x = 985.87

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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.