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Finding the Fourth Proportional to 1,013.90, 1,519.45 and 527.29

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Solution

The fourth proportional to 1,013.90, 1,519.45 and 527.29 is: 790.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.90 : 1,519.45 = 527.29 : x
  2. Step 2: Convert to fraction form
    1,013.90/1,519.45 = 527.29/x
  3. Step 3: Cross multiply
    1,013.90x = 1,519.45 × 527.29
  4. Step 4: Simplify right side
    1,013.90x = 801,185.67
  5. Step 5: Solve for x
    x = 801,185.67/1,013.90
  6. Step 6: Final answer
    x = 790.21

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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.