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Finding the Fourth Proportional to 726.74, 1,002.89 and 412.00

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Solution

The fourth proportional to 726.74, 1,002.89 and 412.00 is: 568.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.74 : 1,002.89 = 412.00 : x
  2. Step 2: Convert to fraction form
    726.74/1,002.89 = 412.00/x
  3. Step 3: Cross multiply
    726.74x = 1,002.89 × 412.00
  4. Step 4: Simplify right side
    726.74x = 413,189.20
  5. Step 5: Solve for x
    x = 413,189.20/726.74
  6. Step 6: Final answer
    x = 568.55

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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.