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Finding the Fourth Proportional to 815.04, 1,123.20 and 581.76

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Solution

The fourth proportional to 815.04, 1,123.20 and 581.76 is: 801.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.04 : 1,123.20 = 581.76 : x
  2. Step 2: Convert to fraction form
    815.04/1,123.20 = 581.76/x
  3. Step 3: Cross multiply
    815.04x = 1,123.20 × 581.76
  4. Step 4: Simplify right side
    815.04x = 653,432.83
  5. Step 5: Solve for x
    x = 653,432.83/815.04
  6. Step 6: Final answer
    x = 801.72

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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.