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Finding the Fourth Proportional to 1,382.76, 2,074.46 and 458.36

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Solution

The fourth proportional to 1,382.76, 2,074.46 and 458.36 is: 687.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.76 : 2,074.46 = 458.36 : x
  2. Step 2: Convert to fraction form
    1,382.76/2,074.46 = 458.36/x
  3. Step 3: Cross multiply
    1,382.76x = 2,074.46 × 458.36
  4. Step 4: Simplify right side
    1,382.76x = 950,849.49
  5. Step 5: Solve for x
    x = 950,849.49/1,382.76
  6. Step 6: Final answer
    x = 687.65

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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.