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Finding the Fourth Proportional to 906.14, 1,248.75 and 657.02

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Solution

The fourth proportional to 906.14, 1,248.75 and 657.02 is: 905.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.14 : 1,248.75 = 657.02 : x
  2. Step 2: Convert to fraction form
    906.14/1,248.75 = 657.02/x
  3. Step 3: Cross multiply
    906.14x = 1,248.75 × 657.02
  4. Step 4: Simplify right side
    906.14x = 820,447.48
  5. Step 5: Solve for x
    x = 820,447.48/906.14
  6. Step 6: Final answer
    x = 905.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.