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Finding the Fourth Proportional to 649.24, 972.60 and 580.48

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Solution

The fourth proportional to 649.24, 972.60 and 580.48 is: 869.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.24 : 972.60 = 580.48 : x
  2. Step 2: Convert to fraction form
    649.24/972.60 = 580.48/x
  3. Step 3: Cross multiply
    649.24x = 972.60 × 580.48
  4. Step 4: Simplify right side
    649.24x = 564,574.85
  5. Step 5: Solve for x
    x = 564,574.85/649.24
  6. Step 6: Final answer
    x = 869.59

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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.