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Finding the Fourth Proportional to 1,250.66, 1,878.15 and 817.58

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Solution

The fourth proportional to 1,250.66, 1,878.15 and 817.58 is: 1,227.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.66 : 1,878.15 = 817.58 : x
  2. Step 2: Convert to fraction form
    1,250.66/1,878.15 = 817.58/x
  3. Step 3: Cross multiply
    1,250.66x = 1,878.15 × 817.58
  4. Step 4: Simplify right side
    1,250.66x = 1,535,537.88
  5. Step 5: Solve for x
    x = 1,535,537.88/1,250.66
  6. Step 6: Final answer
    x = 1,227.78

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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.