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Finding the Fourth Proportional to 1,012.12, 1,517.88 and 524.91

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Solution

The fourth proportional to 1,012.12, 1,517.88 and 524.91 is: 787.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.12 : 1,517.88 = 524.91 : x
  2. Step 2: Convert to fraction form
    1,012.12/1,517.88 = 524.91/x
  3. Step 3: Cross multiply
    1,012.12x = 1,517.88 × 524.91
  4. Step 4: Simplify right side
    1,012.12x = 796,741.55
  5. Step 5: Solve for x
    x = 796,741.55/1,012.12
  6. Step 6: Final answer
    x = 787.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.