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Finding the Fourth Proportional to 1,019.80, 1,527.82 and 702.52

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Solution

The fourth proportional to 1,019.80, 1,527.82 and 702.52 is: 1,052.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.80 : 1,527.82 = 702.52 : x
  2. Step 2: Convert to fraction form
    1,019.80/1,527.82 = 702.52/x
  3. Step 3: Cross multiply
    1,019.80x = 1,527.82 × 702.52
  4. Step 4: Simplify right side
    1,019.80x = 1,073,324.11
  5. Step 5: Solve for x
    x = 1,073,324.11/1,019.80
  6. Step 6: Final answer
    x = 1,052.48

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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.