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Finding the Fourth Proportional to 880.12, 1,214.56 and 506.88

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Solution

The fourth proportional to 880.12, 1,214.56 and 506.88 is: 699.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.12 : 1,214.56 = 506.88 : x
  2. Step 2: Convert to fraction form
    880.12/1,214.56 = 506.88/x
  3. Step 3: Cross multiply
    880.12x = 1,214.56 × 506.88
  4. Step 4: Simplify right side
    880.12x = 615,636.17
  5. Step 5: Solve for x
    x = 615,636.17/880.12
  6. Step 6: Final answer
    x = 699.49

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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.