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Finding the Fourth Proportional to 892.68, 1,345.80 and 830.04

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Solution

The fourth proportional to 892.68, 1,345.80 and 830.04 is: 1,251.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.68 : 1,345.80 = 830.04 : x
  2. Step 2: Convert to fraction form
    892.68/1,345.80 = 830.04/x
  3. Step 3: Cross multiply
    892.68x = 1,345.80 × 830.04
  4. Step 4: Simplify right side
    892.68x = 1,117,067.83
  5. Step 5: Solve for x
    x = 1,117,067.83/892.68
  6. Step 6: Final answer
    x = 1,251.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.