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Finding the Fourth Proportional to 837.72, 1,155.96 and 488.16

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Solution

The fourth proportional to 837.72, 1,155.96 and 488.16 is: 673.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.72 : 1,155.96 = 488.16 : x
  2. Step 2: Convert to fraction form
    837.72/1,155.96 = 488.16/x
  3. Step 3: Cross multiply
    837.72x = 1,155.96 × 488.16
  4. Step 4: Simplify right side
    837.72x = 564,293.43
  5. Step 5: Solve for x
    x = 564,293.43/837.72
  6. Step 6: Final answer
    x = 673.61

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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.