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Finding the Fourth Proportional to 903.38, 1,246.26 and 638.20

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Solution

The fourth proportional to 903.38, 1,246.26 and 638.20 is: 880.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.38 : 1,246.26 = 638.20 : x
  2. Step 2: Convert to fraction form
    903.38/1,246.26 = 638.20/x
  3. Step 3: Cross multiply
    903.38x = 1,246.26 × 638.20
  4. Step 4: Simplify right side
    903.38x = 795,363.13
  5. Step 5: Solve for x
    x = 795,363.13/903.38
  6. Step 6: Final answer
    x = 880.43

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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.