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Finding the Fourth Proportional to 1,046.72, 1,567.92 and 815.36

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Solution

The fourth proportional to 1,046.72, 1,567.92 and 815.36 is: 1,221.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.72 : 1,567.92 = 815.36 : x
  2. Step 2: Convert to fraction form
    1,046.72/1,567.92 = 815.36/x
  3. Step 3: Cross multiply
    1,046.72x = 1,567.92 × 815.36
  4. Step 4: Simplify right side
    1,046.72x = 1,278,419.25
  5. Step 5: Solve for x
    x = 1,278,419.25/1,046.72
  6. Step 6: Final answer
    x = 1,221.36

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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.