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Finding the Fourth Proportional to 726.86, 1,003.54 and 560.78

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Solution

The fourth proportional to 726.86, 1,003.54 and 560.78 is: 774.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.86 : 1,003.54 = 560.78 : x
  2. Step 2: Convert to fraction form
    726.86/1,003.54 = 560.78/x
  3. Step 3: Cross multiply
    726.86x = 1,003.54 × 560.78
  4. Step 4: Simplify right side
    726.86x = 562,765.16
  5. Step 5: Solve for x
    x = 562,765.16/726.86
  6. Step 6: Final answer
    x = 774.24

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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.