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Finding the Fourth Proportional to 687.13, 1,030.73 and 224.95

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Solution

The fourth proportional to 687.13, 1,030.73 and 224.95 is: 337.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.13 : 1,030.73 = 224.95 : x
  2. Step 2: Convert to fraction form
    687.13/1,030.73 = 224.95/x
  3. Step 3: Cross multiply
    687.13x = 1,030.73 × 224.95
  4. Step 4: Simplify right side
    687.13x = 231,862.71
  5. Step 5: Solve for x
    x = 231,862.71/687.13
  6. Step 6: Final answer
    x = 337.44

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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.