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Finding the Fourth Proportional to 1,003.14, 1,382.58 and 862.92

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Solution

The fourth proportional to 1,003.14, 1,382.58 and 862.92 is: 1,189.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.14 : 1,382.58 = 862.92 : x
  2. Step 2: Convert to fraction form
    1,003.14/1,382.58 = 862.92/x
  3. Step 3: Cross multiply
    1,003.14x = 1,382.58 × 862.92
  4. Step 4: Simplify right side
    1,003.14x = 1,193,055.93
  5. Step 5: Solve for x
    x = 1,193,055.93/1,003.14
  6. Step 6: Final answer
    x = 1,189.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.