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Finding the Fourth Proportional to 815.81, 1,125.80 and 442.77

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Solution

The fourth proportional to 815.81, 1,125.80 and 442.77 is: 611.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.81 : 1,125.80 = 442.77 : x
  2. Step 2: Convert to fraction form
    815.81/1,125.80 = 442.77/x
  3. Step 3: Cross multiply
    815.81x = 1,125.80 × 442.77
  4. Step 4: Simplify right side
    815.81x = 498,472.02
  5. Step 5: Solve for x
    x = 498,472.02/815.81
  6. Step 6: Final answer
    x = 611.02

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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.