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Finding the Fourth Proportional to 1,013.24, 1,518.42 and 525.26

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Solution

The fourth proportional to 1,013.24, 1,518.42 and 525.26 is: 787.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.24 : 1,518.42 = 525.26 : x
  2. Step 2: Convert to fraction form
    1,013.24/1,518.42 = 525.26/x
  3. Step 3: Cross multiply
    1,013.24x = 1,518.42 × 525.26
  4. Step 4: Simplify right side
    1,013.24x = 797,565.29
  5. Step 5: Solve for x
    x = 797,565.29/1,013.24
  6. Step 6: Final answer
    x = 787.14

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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.