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Finding the Fourth Proportional to 874.36, 1,206.60 and 496.32

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Solution

The fourth proportional to 874.36, 1,206.60 and 496.32 is: 684.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.36 : 1,206.60 = 496.32 : x
  2. Step 2: Convert to fraction form
    874.36/1,206.60 = 496.32/x
  3. Step 3: Cross multiply
    874.36x = 1,206.60 × 496.32
  4. Step 4: Simplify right side
    874.36x = 598,853.68
  5. Step 5: Solve for x
    x = 598,853.68/874.36
  6. Step 6: Final answer
    x = 684.91

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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.