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Finding the Fourth Proportional to 726.69, 1,090.08 and 397.20

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Solution

The fourth proportional to 726.69, 1,090.08 and 397.20 is: 595.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.69 : 1,090.08 = 397.20 : x
  2. Step 2: Convert to fraction form
    726.69/1,090.08 = 397.20/x
  3. Step 3: Cross multiply
    726.69x = 1,090.08 × 397.20
  4. Step 4: Simplify right side
    726.69x = 432,979.78
  5. Step 5: Solve for x
    x = 432,979.78/726.69
  6. Step 6: Final answer
    x = 595.82

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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.