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Finding the Fourth Proportional to 815.80, 1,125.92 and 466.52

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Solution

The fourth proportional to 815.80, 1,125.92 and 466.52 is: 643.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.80 : 1,125.92 = 466.52 : x
  2. Step 2: Convert to fraction form
    815.80/1,125.92 = 466.52/x
  3. Step 3: Cross multiply
    815.80x = 1,125.92 × 466.52
  4. Step 4: Simplify right side
    815.80x = 525,264.20
  5. Step 5: Solve for x
    x = 525,264.20/815.80
  6. Step 6: Final answer
    x = 643.86

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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.