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Finding the Fourth Proportional to 868.25, 1,197.08 and 632.00

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Solution

The fourth proportional to 868.25, 1,197.08 and 632.00 is: 871.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.25 : 1,197.08 = 632.00 : x
  2. Step 2: Convert to fraction form
    868.25/1,197.08 = 632.00/x
  3. Step 3: Cross multiply
    868.25x = 1,197.08 × 632.00
  4. Step 4: Simplify right side
    868.25x = 756,556.76
  5. Step 5: Solve for x
    x = 756,556.76/868.25
  6. Step 6: Final answer
    x = 871.36

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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.