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Finding the Fourth Proportional to 1,028.83, 1,538.25 and 876.55

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Solution

The fourth proportional to 1,028.83, 1,538.25 and 876.55 is: 1,310.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.83 : 1,538.25 = 876.55 : x
  2. Step 2: Convert to fraction form
    1,028.83/1,538.25 = 876.55/x
  3. Step 3: Cross multiply
    1,028.83x = 1,538.25 × 876.55
  4. Step 4: Simplify right side
    1,028.83x = 1,348,353.04
  5. Step 5: Solve for x
    x = 1,348,353.04/1,028.83
  6. Step 6: Final answer
    x = 1,310.57

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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.