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Finding the Fourth Proportional to 726.03, 1,002.38 and 504.90

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Solution

The fourth proportional to 726.03, 1,002.38 and 504.90 is: 697.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.03 : 1,002.38 = 504.90 : x
  2. Step 2: Convert to fraction form
    726.03/1,002.38 = 504.90/x
  3. Step 3: Cross multiply
    726.03x = 1,002.38 × 504.90
  4. Step 4: Simplify right side
    726.03x = 506,099.14
  5. Step 5: Solve for x
    x = 506,099.14/726.03
  6. Step 6: Final answer
    x = 697.08

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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.