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Finding the Fourth Proportional to 860.76, 1,291.02 and 367.23

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Solution

The fourth proportional to 860.76, 1,291.02 and 367.23 is: 550.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.76 : 1,291.02 = 367.23 : x
  2. Step 2: Convert to fraction form
    860.76/1,291.02 = 367.23/x
  3. Step 3: Cross multiply
    860.76x = 1,291.02 × 367.23
  4. Step 4: Simplify right side
    860.76x = 474,101.27
  5. Step 5: Solve for x
    x = 474,101.27/860.76
  6. Step 6: Final answer
    x = 550.79

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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.