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Finding the Fourth Proportional to 874.76, 1,310.76 and 412.43

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Solution

The fourth proportional to 874.76, 1,310.76 and 412.43 is: 617.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.76 : 1,310.76 = 412.43 : x
  2. Step 2: Convert to fraction form
    874.76/1,310.76 = 412.43/x
  3. Step 3: Cross multiply
    874.76x = 1,310.76 × 412.43
  4. Step 4: Simplify right side
    874.76x = 540,590.19
  5. Step 5: Solve for x
    x = 540,590.19/874.76
  6. Step 6: Final answer
    x = 617.99

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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.