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Finding the Fourth Proportional to 968.48, 1,452.72 and 764.13

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Solution

The fourth proportional to 968.48, 1,452.72 and 764.13 is: 1,146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.48 : 1,452.72 = 764.13 : x
  2. Step 2: Convert to fraction form
    968.48/1,452.72 = 764.13/x
  3. Step 3: Cross multiply
    968.48x = 1,452.72 × 764.13
  4. Step 4: Simplify right side
    968.48x = 1,110,066.93
  5. Step 5: Solve for x
    x = 1,110,066.93/968.48
  6. Step 6: Final answer
    x = 1,146.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.