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Finding the Fourth Proportional to 903.92, 1,248.14 and 668.13

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Solution

The fourth proportional to 903.92, 1,248.14 and 668.13 is: 922.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.92 : 1,248.14 = 668.13 : x
  2. Step 2: Convert to fraction form
    903.92/1,248.14 = 668.13/x
  3. Step 3: Cross multiply
    903.92x = 1,248.14 × 668.13
  4. Step 4: Simplify right side
    903.92x = 833,916.44
  5. Step 5: Solve for x
    x = 833,916.44/903.92
  6. Step 6: Final answer
    x = 922.56

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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.