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Finding the Fourth Proportional to 837.68, 1,155.97 and 464.65

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Solution

The fourth proportional to 837.68, 1,155.97 and 464.65 is: 641.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.68 : 1,155.97 = 464.65 : x
  2. Step 2: Convert to fraction form
    837.68/1,155.97 = 464.65/x
  3. Step 3: Cross multiply
    837.68x = 1,155.97 × 464.65
  4. Step 4: Simplify right side
    837.68x = 537,121.46
  5. Step 5: Solve for x
    x = 537,121.46/837.68
  6. Step 6: Final answer
    x = 641.20

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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.