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Finding the Fourth Proportional to 868.36, 1,197.54 and 764.68

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Solution

The fourth proportional to 868.36, 1,197.54 and 764.68 is: 1,054.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.36 : 1,197.54 = 764.68 : x
  2. Step 2: Convert to fraction form
    868.36/1,197.54 = 764.68/x
  3. Step 3: Cross multiply
    868.36x = 1,197.54 × 764.68
  4. Step 4: Simplify right side
    868.36x = 915,734.89
  5. Step 5: Solve for x
    x = 915,734.89/868.36
  6. Step 6: Final answer
    x = 1,054.56

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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.