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Finding the Fourth Proportional to 1,057.28, 1,585.46 and 813.98

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Solution

The fourth proportional to 1,057.28, 1,585.46 and 813.98 is: 1,220.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.28 : 1,585.46 = 813.98 : x
  2. Step 2: Convert to fraction form
    1,057.28/1,585.46 = 813.98/x
  3. Step 3: Cross multiply
    1,057.28x = 1,585.46 × 813.98
  4. Step 4: Simplify right side
    1,057.28x = 1,290,520.73
  5. Step 5: Solve for x
    x = 1,290,520.73/1,057.28
  6. Step 6: Final answer
    x = 1,220.61

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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.