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Finding the Fourth Proportional to 698.91, 1,047.55 and 617.91

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Solution

The fourth proportional to 698.91, 1,047.55 and 617.91 is: 926.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.91 : 1,047.55 = 617.91 : x
  2. Step 2: Convert to fraction form
    698.91/1,047.55 = 617.91/x
  3. Step 3: Cross multiply
    698.91x = 1,047.55 × 617.91
  4. Step 4: Simplify right side
    698.91x = 647,293.17
  5. Step 5: Solve for x
    x = 647,293.17/698.91
  6. Step 6: Final answer
    x = 926.15

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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.