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Finding the Fourth Proportional to 767.12, 1,149.64 and 401.16

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Solution

The fourth proportional to 767.12, 1,149.64 and 401.16 is: 601.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.12 : 1,149.64 = 401.16 : x
  2. Step 2: Convert to fraction form
    767.12/1,149.64 = 401.16/x
  3. Step 3: Cross multiply
    767.12x = 1,149.64 × 401.16
  4. Step 4: Simplify right side
    767.12x = 461,189.58
  5. Step 5: Solve for x
    x = 461,189.58/767.12
  6. Step 6: Final answer
    x = 601.20

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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.