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Finding the Fourth Proportional to 1,507.06, 2,079.80 and 843.92

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Solution

The fourth proportional to 1,507.06, 2,079.80 and 843.92 is: 1,164.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.06 : 2,079.80 = 843.92 : x
  2. Step 2: Convert to fraction form
    1,507.06/2,079.80 = 843.92/x
  3. Step 3: Cross multiply
    1,507.06x = 2,079.80 × 843.92
  4. Step 4: Simplify right side
    1,507.06x = 1,755,184.82
  5. Step 5: Solve for x
    x = 1,755,184.82/1,507.06
  6. Step 6: Final answer
    x = 1,164.64

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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.