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Finding the Fourth Proportional to 649.17, 972.54 and 504.18

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Solution

The fourth proportional to 649.17, 972.54 and 504.18 is: 755.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.17 : 972.54 = 504.18 : x
  2. Step 2: Convert to fraction form
    649.17/972.54 = 504.18/x
  3. Step 3: Cross multiply
    649.17x = 972.54 × 504.18
  4. Step 4: Simplify right side
    649.17x = 490,335.22
  5. Step 5: Solve for x
    x = 490,335.22/649.17
  6. Step 6: Final answer
    x = 755.33

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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.