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Finding the Fourth Proportional to 1,507.10, 2,079.74 and 843.92

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Solution

The fourth proportional to 1,507.10, 2,079.74 and 843.92 is: 1,164.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.10 : 2,079.74 = 843.92 : x
  2. Step 2: Convert to fraction form
    1,507.10/2,079.74 = 843.92/x
  3. Step 3: Cross multiply
    1,507.10x = 2,079.74 × 843.92
  4. Step 4: Simplify right side
    1,507.10x = 1,755,136.62
  5. Step 5: Solve for x
    x = 1,755,136.62/1,507.10
  6. Step 6: Final answer
    x = 1,164.58

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Why These Related Problems?

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