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Finding the Fourth Proportional to 903.55, 1,346.30 and 863.75

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Solution

The fourth proportional to 903.55, 1,346.30 and 863.75 is: 1,287.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.55 : 1,346.30 = 863.75 : x
  2. Step 2: Convert to fraction form
    903.55/1,346.30 = 863.75/x
  3. Step 3: Cross multiply
    903.55x = 1,346.30 × 863.75
  4. Step 4: Simplify right side
    903.55x = 1,162,866.63
  5. Step 5: Solve for x
    x = 1,162,866.63/903.55
  6. Step 6: Final answer
    x = 1,287.00

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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.