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Finding the Fourth Proportional to 906.31, 1,248.84 and 696.48

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Solution

The fourth proportional to 906.31, 1,248.84 and 696.48 is: 959.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.31 : 1,248.84 = 696.48 : x
  2. Step 2: Convert to fraction form
    906.31/1,248.84 = 696.48/x
  3. Step 3: Cross multiply
    906.31x = 1,248.84 × 696.48
  4. Step 4: Simplify right side
    906.31x = 869,792.08
  5. Step 5: Solve for x
    x = 869,792.08/906.31
  6. Step 6: Final answer
    x = 959.71

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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.