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Finding the Fourth Proportional to 855.45, 1,282.17 and 752.52

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Solution

The fourth proportional to 855.45, 1,282.17 and 752.52 is: 1,127.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.45 : 1,282.17 = 752.52 : x
  2. Step 2: Convert to fraction form
    855.45/1,282.17 = 752.52/x
  3. Step 3: Cross multiply
    855.45x = 1,282.17 × 752.52
  4. Step 4: Simplify right side
    855.45x = 964,858.57
  5. Step 5: Solve for x
    x = 964,858.57/855.45
  6. Step 6: Final answer
    x = 1,127.90

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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.