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Finding the Fourth Proportional to 1,049.27, 1,574.09 and 355.79

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Solution

The fourth proportional to 1,049.27, 1,574.09 and 355.79 is: 533.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.27 : 1,574.09 = 355.79 : x
  2. Step 2: Convert to fraction form
    1,049.27/1,574.09 = 355.79/x
  3. Step 3: Cross multiply
    1,049.27x = 1,574.09 × 355.79
  4. Step 4: Simplify right side
    1,049.27x = 560,048.97
  5. Step 5: Solve for x
    x = 560,048.97/1,049.27
  6. Step 6: Final answer
    x = 533.75

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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.