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Finding the Fourth Proportional to 832.06, 1,246.49 and 465.74

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Solution

The fourth proportional to 832.06, 1,246.49 and 465.74 is: 697.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.06 : 1,246.49 = 465.74 : x
  2. Step 2: Convert to fraction form
    832.06/1,246.49 = 465.74/x
  3. Step 3: Cross multiply
    832.06x = 1,246.49 × 465.74
  4. Step 4: Simplify right side
    832.06x = 580,540.25
  5. Step 5: Solve for x
    x = 580,540.25/832.06
  6. Step 6: Final answer
    x = 697.71

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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.