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Finding the Fourth Proportional to 726.87, 1,090.77 and 402.47

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Solution

The fourth proportional to 726.87, 1,090.77 and 402.47 is: 603.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.87 : 1,090.77 = 402.47 : x
  2. Step 2: Convert to fraction form
    726.87/1,090.77 = 402.47/x
  3. Step 3: Cross multiply
    726.87x = 1,090.77 × 402.47
  4. Step 4: Simplify right side
    726.87x = 438,999.33
  5. Step 5: Solve for x
    x = 438,999.33/726.87
  6. Step 6: Final answer
    x = 603.96

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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.