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Finding the Fourth Proportional to 839.91, 1,160.60 and 630.80

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Solution

The fourth proportional to 839.91, 1,160.60 and 630.80 is: 871.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.91 : 1,160.60 = 630.80 : x
  2. Step 2: Convert to fraction form
    839.91/1,160.60 = 630.80/x
  3. Step 3: Cross multiply
    839.91x = 1,160.60 × 630.80
  4. Step 4: Simplify right side
    839.91x = 732,106.48
  5. Step 5: Solve for x
    x = 732,106.48/839.91
  6. Step 6: Final answer
    x = 871.65

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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.