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Finding the Fourth Proportional to 767.66, 1,151.13 and 402.08

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Solution

The fourth proportional to 767.66, 1,151.13 and 402.08 is: 602.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.66 : 1,151.13 = 402.08 : x
  2. Step 2: Convert to fraction form
    767.66/1,151.13 = 402.08/x
  3. Step 3: Cross multiply
    767.66x = 1,151.13 × 402.08
  4. Step 4: Simplify right side
    767.66x = 462,846.35
  5. Step 5: Solve for x
    x = 462,846.35/767.66
  6. Step 6: Final answer
    x = 602.93

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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.