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Finding the Fourth Proportional to 1,049.06, 1,574.38 and 391.54

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Solution

The fourth proportional to 1,049.06, 1,574.38 and 391.54 is: 587.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.06 : 1,574.38 = 391.54 : x
  2. Step 2: Convert to fraction form
    1,049.06/1,574.38 = 391.54/x
  3. Step 3: Cross multiply
    1,049.06x = 1,574.38 × 391.54
  4. Step 4: Simplify right side
    1,049.06x = 616,432.75
  5. Step 5: Solve for x
    x = 616,432.75/1,049.06
  6. Step 6: Final answer
    x = 587.60

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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.