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Finding the Fourth Proportional to 1,507.30, 2,080.02 and 844.18

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Solution

The fourth proportional to 1,507.30, 2,080.02 and 844.18 is: 1,164.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.30 : 2,080.02 = 844.18 : x
  2. Step 2: Convert to fraction form
    1,507.30/2,080.02 = 844.18/x
  3. Step 3: Cross multiply
    1,507.30x = 2,080.02 × 844.18
  4. Step 4: Simplify right side
    1,507.30x = 1,755,911.28
  5. Step 5: Solve for x
    x = 1,755,911.28/1,507.30
  6. Step 6: Final answer
    x = 1,164.94

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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.