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Finding the Fourth Proportional to 1,508.10, 2,080.99 and 844.80

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Solution

The fourth proportional to 1,508.10, 2,080.99 and 844.80 is: 1,165.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.10 : 2,080.99 = 844.80 : x
  2. Step 2: Convert to fraction form
    1,508.10/2,080.99 = 844.80/x
  3. Step 3: Cross multiply
    1,508.10x = 2,080.99 × 844.80
  4. Step 4: Simplify right side
    1,508.10x = 1,758,020.35
  5. Step 5: Solve for x
    x = 1,758,020.35/1,508.10
  6. Step 6: Final answer
    x = 1,165.72

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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.