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Finding the Fourth Proportional to 1,216.30, 1,822.98 and 867.75

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Solution

The fourth proportional to 1,216.30, 1,822.98 and 867.75 is: 1,300.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.30 : 1,822.98 = 867.75 : x
  2. Step 2: Convert to fraction form
    1,216.30/1,822.98 = 867.75/x
  3. Step 3: Cross multiply
    1,216.30x = 1,822.98 × 867.75
  4. Step 4: Simplify right side
    1,216.30x = 1,581,890.90
  5. Step 5: Solve for x
    x = 1,581,890.90/1,216.30
  6. Step 6: Final answer
    x = 1,300.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.