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Finding the Fourth Proportional to 767.91, 1,151.24 and 459.93

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Solution

The fourth proportional to 767.91, 1,151.24 and 459.93 is: 689.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.91 : 1,151.24 = 459.93 : x
  2. Step 2: Convert to fraction form
    767.91/1,151.24 = 459.93/x
  3. Step 3: Cross multiply
    767.91x = 1,151.24 × 459.93
  4. Step 4: Simplify right side
    767.91x = 529,487.51
  5. Step 5: Solve for x
    x = 529,487.51/767.91
  6. Step 6: Final answer
    x = 689.52

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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.