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Finding the Fourth Proportional to 1,507.66, 2,080.23 and 878.05

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Solution

The fourth proportional to 1,507.66, 2,080.23 and 878.05 is: 1,211.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.66 : 2,080.23 = 878.05 : x
  2. Step 2: Convert to fraction form
    1,507.66/2,080.23 = 878.05/x
  3. Step 3: Cross multiply
    1,507.66x = 2,080.23 × 878.05
  4. Step 4: Simplify right side
    1,507.66x = 1,826,545.95
  5. Step 5: Solve for x
    x = 1,826,545.95/1,507.66
  6. Step 6: Final answer
    x = 1,211.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.