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Finding the Fourth Proportional to 768.03, 1,149.57 and 402.32

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Solution

The fourth proportional to 768.03, 1,149.57 and 402.32 is: 602.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.03 : 1,149.57 = 402.32 : x
  2. Step 2: Convert to fraction form
    768.03/1,149.57 = 402.32/x
  3. Step 3: Cross multiply
    768.03x = 1,149.57 × 402.32
  4. Step 4: Simplify right side
    768.03x = 462,489.25
  5. Step 5: Solve for x
    x = 462,489.25/768.03
  6. Step 6: Final answer
    x = 602.18

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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.