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Finding the Fourth Proportional to 1,507.31, 2,080.05 and 844.21

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Solution

The fourth proportional to 1,507.31, 2,080.05 and 844.21 is: 1,164.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.31 : 2,080.05 = 844.21 : x
  2. Step 2: Convert to fraction form
    1,507.31/2,080.05 = 844.21/x
  3. Step 3: Cross multiply
    1,507.31x = 2,080.05 × 844.21
  4. Step 4: Simplify right side
    1,507.31x = 1,755,988.61
  5. Step 5: Solve for x
    x = 1,755,988.61/1,507.31
  6. Step 6: Final answer
    x = 1,164.98

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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.