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Finding the Fourth Proportional to 698.28, 963.18 and 540.66

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Solution

The fourth proportional to 698.28, 963.18 and 540.66 is: 745.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.28 : 963.18 = 540.66 : x
  2. Step 2: Convert to fraction form
    698.28/963.18 = 540.66/x
  3. Step 3: Cross multiply
    698.28x = 963.18 × 540.66
  4. Step 4: Simplify right side
    698.28x = 520,752.90
  5. Step 5: Solve for x
    x = 520,752.90/698.28
  6. Step 6: Final answer
    x = 745.77

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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.