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Finding the Fourth Proportional to 859.10, 1,286.18 and 770.06

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Solution

The fourth proportional to 859.10, 1,286.18 and 770.06 is: 1,152.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.10 : 1,286.18 = 770.06 : x
  2. Step 2: Convert to fraction form
    859.10/1,286.18 = 770.06/x
  3. Step 3: Cross multiply
    859.10x = 1,286.18 × 770.06
  4. Step 4: Simplify right side
    859.10x = 990,435.77
  5. Step 5: Solve for x
    x = 990,435.77/859.10
  6. Step 6: Final answer
    x = 1,152.88

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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.