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Finding the Fourth Proportional to 1,377.14, 2,064.17 and 684.32

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Solution

The fourth proportional to 1,377.14, 2,064.17 and 684.32 is: 1,025.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.14 : 2,064.17 = 684.32 : x
  2. Step 2: Convert to fraction form
    1,377.14/2,064.17 = 684.32/x
  3. Step 3: Cross multiply
    1,377.14x = 2,064.17 × 684.32
  4. Step 4: Simplify right side
    1,377.14x = 1,412,544.20
  5. Step 5: Solve for x
    x = 1,412,544.20/1,377.14
  6. Step 6: Final answer
    x = 1,025.71

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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.