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Finding the Fourth Proportional to 649.40, 972.53 and 454.59

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Solution

The fourth proportional to 649.40, 972.53 and 454.59 is: 680.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.40 : 972.53 = 454.59 : x
  2. Step 2: Convert to fraction form
    649.40/972.53 = 454.59/x
  3. Step 3: Cross multiply
    649.40x = 972.53 × 454.59
  4. Step 4: Simplify right side
    649.40x = 442,100.14
  5. Step 5: Solve for x
    x = 442,100.14/649.40
  6. Step 6: Final answer
    x = 680.79

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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.