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Finding the Fourth Proportional to 649.82, 972.51 and 562.75

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Solution

The fourth proportional to 649.82, 972.51 and 562.75 is: 842.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.82 : 972.51 = 562.75 : x
  2. Step 2: Convert to fraction form
    649.82/972.51 = 562.75/x
  3. Step 3: Cross multiply
    649.82x = 972.51 × 562.75
  4. Step 4: Simplify right side
    649.82x = 547,275.46
  5. Step 5: Solve for x
    x = 547,275.46/649.82
  6. Step 6: Final answer
    x = 842.19

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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.