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Finding the Fourth Proportional to 989.67, 1,365.56 and 596.70

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Solution

The fourth proportional to 989.67, 1,365.56 and 596.70 is: 823.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.67 : 1,365.56 = 596.70 : x
  2. Step 2: Convert to fraction form
    989.67/1,365.56 = 596.70/x
  3. Step 3: Cross multiply
    989.67x = 1,365.56 × 596.70
  4. Step 4: Simplify right side
    989.67x = 814,829.65
  5. Step 5: Solve for x
    x = 814,829.65/989.67
  6. Step 6: Final answer
    x = 823.33

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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.