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Finding the Fourth Proportional to 880.32, 1,214.24 and 512.32

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Solution

The fourth proportional to 880.32, 1,214.24 and 512.32 is: 706.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.32 : 1,214.24 = 512.32 : x
  2. Step 2: Convert to fraction form
    880.32/1,214.24 = 512.32/x
  3. Step 3: Cross multiply
    880.32x = 1,214.24 × 512.32
  4. Step 4: Simplify right side
    880.32x = 622,079.44
  5. Step 5: Solve for x
    x = 622,079.44/880.32
  6. Step 6: Final answer
    x = 706.65

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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.