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Finding the Fourth Proportional to 1,468.97, 2,204.32 and 545.17

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Solution

The fourth proportional to 1,468.97, 2,204.32 and 545.17 is: 818.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.97 : 2,204.32 = 545.17 : x
  2. Step 2: Convert to fraction form
    1,468.97/2,204.32 = 545.17/x
  3. Step 3: Cross multiply
    1,468.97x = 2,204.32 × 545.17
  4. Step 4: Simplify right side
    1,468.97x = 1,201,729.13
  5. Step 5: Solve for x
    x = 1,201,729.13/1,468.97
  6. Step 6: Final answer
    x = 818.08

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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.