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Finding the Fourth Proportional to 726.37, 1,002.38 and 592.45

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Solution

The fourth proportional to 726.37, 1,002.38 and 592.45 is: 817.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.37 : 1,002.38 = 592.45 : x
  2. Step 2: Convert to fraction form
    726.37/1,002.38 = 592.45/x
  3. Step 3: Cross multiply
    726.37x = 1,002.38 × 592.45
  4. Step 4: Simplify right side
    726.37x = 593,854.56
  5. Step 5: Solve for x
    x = 593,854.56/726.37
  6. Step 6: Final answer
    x = 817.57

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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.