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Finding the Fourth Proportional to 879.66, 1,213.80 and 506.70

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Solution

The fourth proportional to 879.66, 1,213.80 and 506.70 is: 699.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.66 : 1,213.80 = 506.70 : x
  2. Step 2: Convert to fraction form
    879.66/1,213.80 = 506.70/x
  3. Step 3: Cross multiply
    879.66x = 1,213.80 × 506.70
  4. Step 4: Simplify right side
    879.66x = 615,032.46
  5. Step 5: Solve for x
    x = 615,032.46/879.66
  6. Step 6: Final answer
    x = 699.17

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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.