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Finding the Fourth Proportional to 1,377.09, 2,063.81 and 750.78

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Solution

The fourth proportional to 1,377.09, 2,063.81 and 750.78 is: 1,125.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.09 : 2,063.81 = 750.78 : x
  2. Step 2: Convert to fraction form
    1,377.09/2,063.81 = 750.78/x
  3. Step 3: Cross multiply
    1,377.09x = 2,063.81 × 750.78
  4. Step 4: Simplify right side
    1,377.09x = 1,549,467.27
  5. Step 5: Solve for x
    x = 1,549,467.27/1,377.09
  6. Step 6: Final answer
    x = 1,125.18

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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.