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Finding the Fourth Proportional to 649.24, 972.95 and 486.74

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Solution

The fourth proportional to 649.24, 972.95 and 486.74 is: 729.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.24 : 972.95 = 486.74 : x
  2. Step 2: Convert to fraction form
    649.24/972.95 = 486.74/x
  3. Step 3: Cross multiply
    649.24x = 972.95 × 486.74
  4. Step 4: Simplify right side
    649.24x = 473,573.68
  5. Step 5: Solve for x
    x = 473,573.68/649.24
  6. Step 6: Final answer
    x = 729.43

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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.