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Finding the Fourth Proportional to 869.31, 1,199.54 and 491.22

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Solution

The fourth proportional to 869.31, 1,199.54 and 491.22 is: 677.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.31 : 1,199.54 = 491.22 : x
  2. Step 2: Convert to fraction form
    869.31/1,199.54 = 491.22/x
  3. Step 3: Cross multiply
    869.31x = 1,199.54 × 491.22
  4. Step 4: Simplify right side
    869.31x = 589,239.27
  5. Step 5: Solve for x
    x = 589,239.27/869.31
  6. Step 6: Final answer
    x = 677.82

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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.