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Finding the Fourth Proportional to 1,382.10, 2,073.56 and 651.75

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Solution

The fourth proportional to 1,382.10, 2,073.56 and 651.75 is: 977.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.10 : 2,073.56 = 651.75 : x
  2. Step 2: Convert to fraction form
    1,382.10/2,073.56 = 651.75/x
  3. Step 3: Cross multiply
    1,382.10x = 2,073.56 × 651.75
  4. Step 4: Simplify right side
    1,382.10x = 1,351,439.47
  5. Step 5: Solve for x
    x = 1,351,439.47/1,382.10
  6. Step 6: Final answer
    x = 977.82

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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.