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Finding the Fourth Proportional to 868.13, 1,197.60 and 536.43

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Solution

The fourth proportional to 868.13, 1,197.60 and 536.43 is: 740.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.13 : 1,197.60 = 536.43 : x
  2. Step 2: Convert to fraction form
    868.13/1,197.60 = 536.43/x
  3. Step 3: Cross multiply
    868.13x = 1,197.60 × 536.43
  4. Step 4: Simplify right side
    868.13x = 642,434.06
  5. Step 5: Solve for x
    x = 642,434.06/868.13
  6. Step 6: Final answer
    x = 740.02

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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.