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Finding the Fourth Proportional to 868.23, 1,197.74 and 536.54

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Solution

The fourth proportional to 868.23, 1,197.74 and 536.54 is: 740.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.23 : 1,197.74 = 536.54 : x
  2. Step 2: Convert to fraction form
    868.23/1,197.74 = 536.54/x
  3. Step 3: Cross multiply
    868.23x = 1,197.74 × 536.54
  4. Step 4: Simplify right side
    868.23x = 642,626.75
  5. Step 5: Solve for x
    x = 642,626.75/868.23
  6. Step 6: Final answer
    x = 740.16

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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.