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Finding the Fourth Proportional to 805.18, 1,204.66 and 712.84

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Solution

The fourth proportional to 805.18, 1,204.66 and 712.84 is: 1,066.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.18 : 1,204.66 = 712.84 : x
  2. Step 2: Convert to fraction form
    805.18/1,204.66 = 712.84/x
  3. Step 3: Cross multiply
    805.18x = 1,204.66 × 712.84
  4. Step 4: Simplify right side
    805.18x = 858,729.83
  5. Step 5: Solve for x
    x = 858,729.83/805.18
  6. Step 6: Final answer
    x = 1,066.51

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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.