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Finding the Fourth Proportional to 1,507.15, 2,079.80 and 843.88

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Solution

The fourth proportional to 1,507.15, 2,079.80 and 843.88 is: 1,164.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.15 : 2,079.80 = 843.88 : x
  2. Step 2: Convert to fraction form
    1,507.15/2,079.80 = 843.88/x
  3. Step 3: Cross multiply
    1,507.15x = 2,079.80 × 843.88
  4. Step 4: Simplify right side
    1,507.15x = 1,755,101.62
  5. Step 5: Solve for x
    x = 1,755,101.62/1,507.15
  6. Step 6: Final answer
    x = 1,164.52

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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.