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Finding the Fourth Proportional to 815.78, 1,125.92 and 484.31

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Solution

The fourth proportional to 815.78, 1,125.92 and 484.31 is: 668.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.78 : 1,125.92 = 484.31 : x
  2. Step 2: Convert to fraction form
    815.78/1,125.92 = 484.31/x
  3. Step 3: Cross multiply
    815.78x = 1,125.92 × 484.31
  4. Step 4: Simplify right side
    815.78x = 545,298.34
  5. Step 5: Solve for x
    x = 545,298.34/815.78
  6. Step 6: Final answer
    x = 668.44

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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.