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Finding the Fourth Proportional to 1,502.78, 2,073.66 and 839.60

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Solution

The fourth proportional to 1,502.78, 2,073.66 and 839.60 is: 1,158.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.78 : 2,073.66 = 839.60 : x
  2. Step 2: Convert to fraction form
    1,502.78/2,073.66 = 839.60/x
  3. Step 3: Cross multiply
    1,502.78x = 2,073.66 × 839.60
  4. Step 4: Simplify right side
    1,502.78x = 1,741,044.94
  5. Step 5: Solve for x
    x = 1,741,044.94/1,502.78
  6. Step 6: Final answer
    x = 1,158.55

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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.