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Finding the Fourth Proportional to 869.16, 1,199.31 and 491.07

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Solution

The fourth proportional to 869.16, 1,199.31 and 491.07 is: 677.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.16 : 1,199.31 = 491.07 : x
  2. Step 2: Convert to fraction form
    869.16/1,199.31 = 491.07/x
  3. Step 3: Cross multiply
    869.16x = 1,199.31 × 491.07
  4. Step 4: Simplify right side
    869.16x = 588,945.16
  5. Step 5: Solve for x
    x = 588,945.16/869.16
  6. Step 6: Final answer
    x = 677.60

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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.