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Finding the Fourth Proportional to 1,315.46, 1,815.24 and 791.78

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Solution

The fourth proportional to 1,315.46, 1,815.24 and 791.78 is: 1,092.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.46 : 1,815.24 = 791.78 : x
  2. Step 2: Convert to fraction form
    1,315.46/1,815.24 = 791.78/x
  3. Step 3: Cross multiply
    1,315.46x = 1,815.24 × 791.78
  4. Step 4: Simplify right side
    1,315.46x = 1,437,270.73
  5. Step 5: Solve for x
    x = 1,437,270.73/1,315.46
  6. Step 6: Final answer
    x = 1,092.60

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1.5x scale

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.