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Finding the Fourth Proportional to 832.97, 1,149.39 and 459.95

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Solution

The fourth proportional to 832.97, 1,149.39 and 459.95 is: 634.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.97 : 1,149.39 = 459.95 : x
  2. Step 2: Convert to fraction form
    832.97/1,149.39 = 459.95/x
  3. Step 3: Cross multiply
    832.97x = 1,149.39 × 459.95
  4. Step 4: Simplify right side
    832.97x = 528,656.18
  5. Step 5: Solve for x
    x = 528,656.18/832.97
  6. Step 6: Final answer
    x = 634.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.