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Finding the Fourth Proportional to 860.94, 1,291.56 and 450.42

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Solution

The fourth proportional to 860.94, 1,291.56 and 450.42 is: 675.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.94 : 1,291.56 = 450.42 : x
  2. Step 2: Convert to fraction form
    860.94/1,291.56 = 450.42/x
  3. Step 3: Cross multiply
    860.94x = 1,291.56 × 450.42
  4. Step 4: Simplify right side
    860.94x = 581,744.46
  5. Step 5: Solve for x
    x = 581,744.46/860.94
  6. Step 6: Final answer
    x = 675.71

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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.