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Finding the Fourth Proportional to 726.13, 1,088.47 and 293.59

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Solution

The fourth proportional to 726.13, 1,088.47 and 293.59 is: 440.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.13 : 1,088.47 = 293.59 : x
  2. Step 2: Convert to fraction form
    726.13/1,088.47 = 293.59/x
  3. Step 3: Cross multiply
    726.13x = 1,088.47 × 293.59
  4. Step 4: Simplify right side
    726.13x = 319,563.91
  5. Step 5: Solve for x
    x = 319,563.91/726.13
  6. Step 6: Final answer
    x = 440.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.