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Finding the Fourth Proportional to 726.84, 1,003.22 and 464.70

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Solution

The fourth proportional to 726.84, 1,003.22 and 464.70 is: 641.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.84 : 1,003.22 = 464.70 : x
  2. Step 2: Convert to fraction form
    726.84/1,003.22 = 464.70/x
  3. Step 3: Cross multiply
    726.84x = 1,003.22 × 464.70
  4. Step 4: Simplify right side
    726.84x = 466,199.52
  5. Step 5: Solve for x
    x = 466,199.52/726.84
  6. Step 6: Final answer
    x = 641.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.