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Finding the Fourth Proportional to 767.96, 1,149.86 and 402.01

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Solution

The fourth proportional to 767.96, 1,149.86 and 402.01 is: 601.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.96 : 1,149.86 = 402.01 : x
  2. Step 2: Convert to fraction form
    767.96/1,149.86 = 402.01/x
  3. Step 3: Cross multiply
    767.96x = 1,149.86 × 402.01
  4. Step 4: Simplify right side
    767.96x = 462,255.22
  5. Step 5: Solve for x
    x = 462,255.22/767.96
  6. Step 6: Final answer
    x = 601.93

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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.