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Finding the Fourth Proportional to 1,382.95, 2,073.70 and 458.41

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Solution

The fourth proportional to 1,382.95, 2,073.70 and 458.41 is: 687.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.95 : 2,073.70 = 458.41 : x
  2. Step 2: Convert to fraction form
    1,382.95/2,073.70 = 458.41/x
  3. Step 3: Cross multiply
    1,382.95x = 2,073.70 × 458.41
  4. Step 4: Simplify right side
    1,382.95x = 950,604.09
  5. Step 5: Solve for x
    x = 950,604.09/1,382.95
  6. Step 6: Final answer
    x = 687.37

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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.