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Finding the Fourth Proportional to 903.62, 1,246.61 and 638.46

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Solution

The fourth proportional to 903.62, 1,246.61 and 638.46 is: 880.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.62 : 1,246.61 = 638.46 : x
  2. Step 2: Convert to fraction form
    903.62/1,246.61 = 638.46/x
  3. Step 3: Cross multiply
    903.62x = 1,246.61 × 638.46
  4. Step 4: Simplify right side
    903.62x = 795,912.22
  5. Step 5: Solve for x
    x = 795,912.22/903.62
  6. Step 6: Final answer
    x = 880.80

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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.