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Finding the Fourth Proportional to 879.93, 1,214.28 and 506.88

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Solution

The fourth proportional to 879.93, 1,214.28 and 506.88 is: 699.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.93 : 1,214.28 = 506.88 : x
  2. Step 2: Convert to fraction form
    879.93/1,214.28 = 506.88/x
  3. Step 3: Cross multiply
    879.93x = 1,214.28 × 506.88
  4. Step 4: Simplify right side
    879.93x = 615,494.25
  5. Step 5: Solve for x
    x = 615,494.25/879.93
  6. Step 6: Final answer
    x = 699.48

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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.