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Finding the Fourth Proportional to 649.16, 972.52 and 504.20

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Solution

The fourth proportional to 649.16, 972.52 and 504.20 is: 755.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.16 : 972.52 = 504.20 : x
  2. Step 2: Convert to fraction form
    649.16/972.52 = 504.20/x
  3. Step 3: Cross multiply
    649.16x = 972.52 × 504.20
  4. Step 4: Simplify right side
    649.16x = 490,344.58
  5. Step 5: Solve for x
    x = 490,344.58/649.16
  6. Step 6: Final answer
    x = 755.35

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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.