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Finding the Fourth Proportional to 1,015.14, 1,522.20 and 521.04

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Solution

The fourth proportional to 1,015.14, 1,522.20 and 521.04 is: 781.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.14 : 1,522.20 = 521.04 : x
  2. Step 2: Convert to fraction form
    1,015.14/1,522.20 = 521.04/x
  3. Step 3: Cross multiply
    1,015.14x = 1,522.20 × 521.04
  4. Step 4: Simplify right side
    1,015.14x = 793,127.09
  5. Step 5: Solve for x
    x = 793,127.09/1,015.14
  6. Step 6: Final answer
    x = 781.30

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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.