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Finding the Fourth Proportional to 903.90, 1,248.54 and 668.32

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Solution

The fourth proportional to 903.90, 1,248.54 and 668.32 is: 923.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.90 : 1,248.54 = 668.32 : x
  2. Step 2: Convert to fraction form
    903.90/1,248.54 = 668.32/x
  3. Step 3: Cross multiply
    903.90x = 1,248.54 × 668.32
  4. Step 4: Simplify right side
    903.90x = 834,424.25
  5. Step 5: Solve for x
    x = 834,424.25/903.90
  6. Step 6: Final answer
    x = 923.14

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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.