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Finding the Fourth Proportional to 1,049.92, 1,574.76 and 280.40

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Solution

The fourth proportional to 1,049.92, 1,574.76 and 280.40 is: 420.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.92 : 1,574.76 = 280.40 : x
  2. Step 2: Convert to fraction form
    1,049.92/1,574.76 = 280.40/x
  3. Step 3: Cross multiply
    1,049.92x = 1,574.76 × 280.40
  4. Step 4: Simplify right side
    1,049.92x = 441,562.70
  5. Step 5: Solve for x
    x = 441,562.70/1,049.92
  6. Step 6: Final answer
    x = 420.57

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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.