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Finding the Fourth Proportional to 726.51, 1,002.47 and 431.79

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Solution

The fourth proportional to 726.51, 1,002.47 and 431.79 is: 595.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.51 : 1,002.47 = 431.79 : x
  2. Step 2: Convert to fraction form
    726.51/1,002.47 = 431.79/x
  3. Step 3: Cross multiply
    726.51x = 1,002.47 × 431.79
  4. Step 4: Simplify right side
    726.51x = 432,854.36
  5. Step 5: Solve for x
    x = 432,854.36/726.51
  6. Step 6: Final answer
    x = 595.80

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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.