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Finding the Fourth Proportional to 1,012.33, 1,518.97 and 525.12

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Solution

The fourth proportional to 1,012.33, 1,518.97 and 525.12 is: 787.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.33 : 1,518.97 = 525.12 : x
  2. Step 2: Convert to fraction form
    1,012.33/1,518.97 = 525.12/x
  3. Step 3: Cross multiply
    1,012.33x = 1,518.97 × 525.12
  4. Step 4: Simplify right side
    1,012.33x = 797,641.53
  5. Step 5: Solve for x
    x = 797,641.53/1,012.33
  6. Step 6: Final answer
    x = 787.93

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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.