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Finding the Fourth Proportional to 989.22, 1,364.90 and 590.78

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Solution

The fourth proportional to 989.22, 1,364.90 and 590.78 is: 815.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.22 : 1,364.90 = 590.78 : x
  2. Step 2: Convert to fraction form
    989.22/1,364.90 = 590.78/x
  3. Step 3: Cross multiply
    989.22x = 1,364.90 × 590.78
  4. Step 4: Simplify right side
    989.22x = 806,350.27
  5. Step 5: Solve for x
    x = 806,350.27/989.22
  6. Step 6: Final answer
    x = 815.14

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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.