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Finding the Fourth Proportional to 1,011.83, 1,517.54 and 524.61

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Solution

The fourth proportional to 1,011.83, 1,517.54 and 524.61 is: 786.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.83 : 1,517.54 = 524.61 : x
  2. Step 2: Convert to fraction form
    1,011.83/1,517.54 = 524.61/x
  3. Step 3: Cross multiply
    1,011.83x = 1,517.54 × 524.61
  4. Step 4: Simplify right side
    1,011.83x = 796,114.04
  5. Step 5: Solve for x
    x = 796,114.04/1,011.83
  6. Step 6: Final answer
    x = 786.81

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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.