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Finding the Fourth Proportional to 834.66, 1,249.35 and 468.33

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Solution

The fourth proportional to 834.66, 1,249.35 and 468.33 is: 701.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.66 : 1,249.35 = 468.33 : x
  2. Step 2: Convert to fraction form
    834.66/1,249.35 = 468.33/x
  3. Step 3: Cross multiply
    834.66x = 1,249.35 × 468.33
  4. Step 4: Simplify right side
    834.66x = 585,108.09
  5. Step 5: Solve for x
    x = 585,108.09/834.66
  6. Step 6: Final answer
    x = 701.01

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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.