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Finding the Fourth Proportional to 651.48, 972.17 and 582.25

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Solution

The fourth proportional to 651.48, 972.17 and 582.25 is: 868.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.48 : 972.17 = 582.25 : x
  2. Step 2: Convert to fraction form
    651.48/972.17 = 582.25/x
  3. Step 3: Cross multiply
    651.48x = 972.17 × 582.25
  4. Step 4: Simplify right side
    651.48x = 566,045.98
  5. Step 5: Solve for x
    x = 566,045.98/651.48
  6. Step 6: Final answer
    x = 868.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.