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Finding the Fourth Proportional to 815.83, 1,125.82 and 442.80

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Solution

The fourth proportional to 815.83, 1,125.82 and 442.80 is: 611.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.83 : 1,125.82 = 442.80 : x
  2. Step 2: Convert to fraction form
    815.83/1,125.82 = 442.80/x
  3. Step 3: Cross multiply
    815.83x = 1,125.82 × 442.80
  4. Step 4: Simplify right side
    815.83x = 498,513.10
  5. Step 5: Solve for x
    x = 498,513.10/815.83
  6. Step 6: Final answer
    x = 611.05

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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.