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Finding the Fourth Proportional to 874.49, 1,310.85 and 412.52

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Solution

The fourth proportional to 874.49, 1,310.85 and 412.52 is: 618.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.49 : 1,310.85 = 412.52 : x
  2. Step 2: Convert to fraction form
    874.49/1,310.85 = 412.52/x
  3. Step 3: Cross multiply
    874.49x = 1,310.85 × 412.52
  4. Step 4: Simplify right side
    874.49x = 540,751.84
  5. Step 5: Solve for x
    x = 540,751.84/874.49
  6. Step 6: Final answer
    x = 618.36

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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.