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Finding the Fourth Proportional to 989.05, 1,365.33 and 590.85

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Solution

The fourth proportional to 989.05, 1,365.33 and 590.85 is: 815.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.05 : 1,365.33 = 590.85 : x
  2. Step 2: Convert to fraction form
    989.05/1,365.33 = 590.85/x
  3. Step 3: Cross multiply
    989.05x = 1,365.33 × 590.85
  4. Step 4: Simplify right side
    989.05x = 806,702.28
  5. Step 5: Solve for x
    x = 806,702.28/989.05
  6. Step 6: Final answer
    x = 815.63

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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.