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Finding the Fourth Proportional to 1,015.48, 1,522.14 and 667.72

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Solution

The fourth proportional to 1,015.48, 1,522.14 and 667.72 is: 1,000.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.48 : 1,522.14 = 667.72 : x
  2. Step 2: Convert to fraction form
    1,015.48/1,522.14 = 667.72/x
  3. Step 3: Cross multiply
    1,015.48x = 1,522.14 × 667.72
  4. Step 4: Simplify right side
    1,015.48x = 1,016,363.32
  5. Step 5: Solve for x
    x = 1,016,363.32/1,015.48
  6. Step 6: Final answer
    x = 1,000.87

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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.