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Finding the Fourth Proportional to 1,017.97, 1,525.27 and 932.85

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Solution

The fourth proportional to 1,017.97, 1,525.27 and 932.85 is: 1,397.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.97 : 1,525.27 = 932.85 : x
  2. Step 2: Convert to fraction form
    1,017.97/1,525.27 = 932.85/x
  3. Step 3: Cross multiply
    1,017.97x = 1,525.27 × 932.85
  4. Step 4: Simplify right side
    1,017.97x = 1,422,848.12
  5. Step 5: Solve for x
    x = 1,422,848.12/1,017.97
  6. Step 6: Final answer
    x = 1,397.73

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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.