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Finding the Fourth Proportional to 815.80, 1,125.78 and 442.76

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Solution

The fourth proportional to 815.80, 1,125.78 and 442.76 is: 611.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.80 : 1,125.78 = 442.76 : x
  2. Step 2: Convert to fraction form
    815.80/1,125.78 = 442.76/x
  3. Step 3: Cross multiply
    815.80x = 1,125.78 × 442.76
  4. Step 4: Simplify right side
    815.80x = 498,450.35
  5. Step 5: Solve for x
    x = 498,450.35/815.80
  6. Step 6: Final answer
    x = 611.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.