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Finding the Fourth Proportional to 1,016.05, 1,524.56 and 468.17

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Solution

The fourth proportional to 1,016.05, 1,524.56 and 468.17 is: 702.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.05 : 1,524.56 = 468.17 : x
  2. Step 2: Convert to fraction form
    1,016.05/1,524.56 = 468.17/x
  3. Step 3: Cross multiply
    1,016.05x = 1,524.56 × 468.17
  4. Step 4: Simplify right side
    1,016.05x = 713,753.26
  5. Step 5: Solve for x
    x = 713,753.26/1,016.05
  6. Step 6: Final answer
    x = 702.48

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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.