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Finding the Fourth Proportional to 649.34, 972.66 and 485.05

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Solution

The fourth proportional to 649.34, 972.66 and 485.05 is: 726.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.34 : 972.66 = 485.05 : x
  2. Step 2: Convert to fraction form
    649.34/972.66 = 485.05/x
  3. Step 3: Cross multiply
    649.34x = 972.66 × 485.05
  4. Step 4: Simplify right side
    649.34x = 471,788.73
  5. Step 5: Solve for x
    x = 471,788.73/649.34
  6. Step 6: Final answer
    x = 726.57

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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.