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Finding the Fourth Proportional to 903.69, 1,346.49 and 863.87

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Solution

The fourth proportional to 903.69, 1,346.49 and 863.87 is: 1,287.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.69 : 1,346.49 = 863.87 : x
  2. Step 2: Convert to fraction form
    903.69/1,346.49 = 863.87/x
  3. Step 3: Cross multiply
    903.69x = 1,346.49 × 863.87
  4. Step 4: Simplify right side
    903.69x = 1,163,185.58
  5. Step 5: Solve for x
    x = 1,163,185.58/903.69
  6. Step 6: Final answer
    x = 1,287.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.