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Finding the Fourth Proportional to 859.04, 1,286.27 and 684.53

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Solution

The fourth proportional to 859.04, 1,286.27 and 684.53 is: 1,024.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.04 : 1,286.27 = 684.53 : x
  2. Step 2: Convert to fraction form
    859.04/1,286.27 = 684.53/x
  3. Step 3: Cross multiply
    859.04x = 1,286.27 × 684.53
  4. Step 4: Simplify right side
    859.04x = 880,495.33
  5. Step 5: Solve for x
    x = 880,495.33/859.04
  6. Step 6: Final answer
    x = 1,024.98

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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.