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Finding the Fourth Proportional to 1,049.97, 1,574.85 and 319.55

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Solution

The fourth proportional to 1,049.97, 1,574.85 and 319.55 is: 479.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.97 : 1,574.85 = 319.55 : x
  2. Step 2: Convert to fraction form
    1,049.97/1,574.85 = 319.55/x
  3. Step 3: Cross multiply
    1,049.97x = 1,574.85 × 319.55
  4. Step 4: Simplify right side
    1,049.97x = 503,243.70
  5. Step 5: Solve for x
    x = 503,243.70/1,049.97
  6. Step 6: Final answer
    x = 479.29

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