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Finding the Fourth Proportional to 1,508.02, 2,080.98 and 844.74

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Solution

The fourth proportional to 1,508.02, 2,080.98 and 844.74 is: 1,165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.02 : 2,080.98 = 844.74 : x
  2. Step 2: Convert to fraction form
    1,508.02/2,080.98 = 844.74/x
  3. Step 3: Cross multiply
    1,508.02x = 2,080.98 × 844.74
  4. Step 4: Simplify right side
    1,508.02x = 1,757,887.05
  5. Step 5: Solve for x
    x = 1,757,887.05/1,508.02
  6. Step 6: Final answer
    x = 1,165.69

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