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Finding the Fourth Proportional to 938.88, 1,414.08 and 684

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Solution

The fourth proportional to 938.88, 1,414.08 and 684 is: 1,030.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.88 : 1,414.08 = 684 : x
  2. Step 2: Convert to fraction form
    938.88/1,414.08 = 684/x
  3. Step 3: Cross multiply
    938.88x = 1,414.08 × 684
  4. Step 4: Simplify right side
    938.88x = 967,230.72
  5. Step 5: Solve for x
    x = 967,230.72/938.88
  6. Step 6: Final answer
    x = 1,030.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.