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Finding the Fourth Proportional to 1,015.28, 1,521.98 and 742.70

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Solution

The fourth proportional to 1,015.28, 1,521.98 and 742.70 is: 1,113.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.28 : 1,521.98 = 742.70 : x
  2. Step 2: Convert to fraction form
    1,015.28/1,521.98 = 742.70/x
  3. Step 3: Cross multiply
    1,015.28x = 1,521.98 × 742.70
  4. Step 4: Simplify right side
    1,015.28x = 1,130,374.55
  5. Step 5: Solve for x
    x = 1,130,374.55/1,015.28
  6. Step 6: Final answer
    x = 1,113.36

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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.