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Finding the Fourth Proportional to 1,015.20, 1,522.65 and 284.85

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Solution

The fourth proportional to 1,015.20, 1,522.65 and 284.85 is: 427.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.20 : 1,522.65 = 284.85 : x
  2. Step 2: Convert to fraction form
    1,015.20/1,522.65 = 284.85/x
  3. Step 3: Cross multiply
    1,015.20x = 1,522.65 × 284.85
  4. Step 4: Simplify right side
    1,015.20x = 433,726.85
  5. Step 5: Solve for x
    x = 433,726.85/1,015.20
  6. Step 6: Final answer
    x = 427.23

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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.