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Finding the Fourth Proportional to 726.65, 1,002.56 and 431.94

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Solution

The fourth proportional to 726.65, 1,002.56 and 431.94 is: 595.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.65 : 1,002.56 = 431.94 : x
  2. Step 2: Convert to fraction form
    726.65/1,002.56 = 431.94/x
  3. Step 3: Cross multiply
    726.65x = 1,002.56 × 431.94
  4. Step 4: Simplify right side
    726.65x = 433,047.37
  5. Step 5: Solve for x
    x = 433,047.37/726.65
  6. Step 6: Final answer
    x = 595.95

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