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Finding the Fourth Proportional to 1,011.29, 1,517.75 and 524.48

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Solution

The fourth proportional to 1,011.29, 1,517.75 and 524.48 is: 787.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.29 : 1,517.75 = 524.48 : x
  2. Step 2: Convert to fraction form
    1,011.29/1,517.75 = 524.48/x
  3. Step 3: Cross multiply
    1,011.29x = 1,517.75 × 524.48
  4. Step 4: Simplify right side
    1,011.29x = 796,029.52
  5. Step 5: Solve for x
    x = 796,029.52/1,011.29
  6. Step 6: Final answer
    x = 787.14

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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.