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Finding the Fourth Proportional to 767.67, 1,151.15 and 459.66

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Solution

The fourth proportional to 767.67, 1,151.15 and 459.66 is: 689.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.67 : 1,151.15 = 459.66 : x
  2. Step 2: Convert to fraction form
    767.67/1,151.15 = 459.66/x
  3. Step 3: Cross multiply
    767.67x = 1,151.15 × 459.66
  4. Step 4: Simplify right side
    767.67x = 529,139.63
  5. Step 5: Solve for x
    x = 529,139.63/767.67
  6. Step 6: Final answer
    x = 689.28

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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.