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Finding the Fourth Proportional to 989.64, 1,365.80 and 823.56

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Solution

The fourth proportional to 989.64, 1,365.80 and 823.56 is: 1,136.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.64 : 1,365.80 = 823.56 : x
  2. Step 2: Convert to fraction form
    989.64/1,365.80 = 823.56/x
  3. Step 3: Cross multiply
    989.64x = 1,365.80 × 823.56
  4. Step 4: Simplify right side
    989.64x = 1,124,818.25
  5. Step 5: Solve for x
    x = 1,124,818.25/989.64
  6. Step 6: Final answer
    x = 1,136.59

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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.