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Finding the Fourth Proportional to 1,377.71, 2,062.51 and 856.04

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Solution

The fourth proportional to 1,377.71, 2,062.51 and 856.04 is: 1,281.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.71 : 2,062.51 = 856.04 : x
  2. Step 2: Convert to fraction form
    1,377.71/2,062.51 = 856.04/x
  3. Step 3: Cross multiply
    1,377.71x = 2,062.51 × 856.04
  4. Step 4: Simplify right side
    1,377.71x = 1,765,578.61
  5. Step 5: Solve for x
    x = 1,765,578.61/1,377.71
  6. Step 6: Final answer
    x = 1,281.54

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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.