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Finding the Fourth Proportional to 1,065, 1,468.62 and 867.90

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Solution

The fourth proportional to 1,065, 1,468.62 and 867.90 is: 1,196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065 : 1,468.62 = 867.90 : x
  2. Step 2: Convert to fraction form
    1,065/1,468.62 = 867.90/x
  3. Step 3: Cross multiply
    1,065x = 1,468.62 × 867.90
  4. Step 4: Simplify right side
    1,065x = 1,274,615.30
  5. Step 5: Solve for x
    x = 1,274,615.30/1,065
  6. Step 6: Final answer
    x = 1,196.82

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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.