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Finding the Fourth Proportional to 815.10, 1,225.14 and 542.85

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Solution

The fourth proportional to 815.10, 1,225.14 and 542.85 is: 815.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.10 : 1,225.14 = 542.85 : x
  2. Step 2: Convert to fraction form
    815.10/1,225.14 = 542.85/x
  3. Step 3: Cross multiply
    815.10x = 1,225.14 × 542.85
  4. Step 4: Simplify right side
    815.10x = 665,067.25
  5. Step 5: Solve for x
    x = 665,067.25/815.10
  6. Step 6: Final answer
    x = 815.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.