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Finding the Fourth Proportional to 868.62, 1,207.01 and 859.74

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Solution

The fourth proportional to 868.62, 1,207.01 and 859.74 is: 1,194.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.62 : 1,207.01 = 859.74 : x
  2. Step 2: Convert to fraction form
    868.62/1,207.01 = 859.74/x
  3. Step 3: Cross multiply
    868.62x = 1,207.01 × 859.74
  4. Step 4: Simplify right side
    868.62x = 1,037,710.48
  5. Step 5: Solve for x
    x = 1,037,710.48/868.62
  6. Step 6: Final answer
    x = 1,194.67

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.