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Finding the Fourth Proportional to 1,049.20, 1,570.92 and 615.60

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Solution

The fourth proportional to 1,049.20, 1,570.92 and 615.60 is: 921.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.20 : 1,570.92 = 615.60 : x
  2. Step 2: Convert to fraction form
    1,049.20/1,570.92 = 615.60/x
  3. Step 3: Cross multiply
    1,049.20x = 1,570.92 × 615.60
  4. Step 4: Simplify right side
    1,049.20x = 967,058.35
  5. Step 5: Solve for x
    x = 967,058.35/1,049.20
  6. Step 6: Final answer
    x = 921.71

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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.