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Finding the Fourth Proportional to 853.80, 1,178.61 and 658.18

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Solution

The fourth proportional to 853.80, 1,178.61 and 658.18 is: 908.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.80 : 1,178.61 = 658.18 : x
  2. Step 2: Convert to fraction form
    853.80/1,178.61 = 658.18/x
  3. Step 3: Cross multiply
    853.80x = 1,178.61 × 658.18
  4. Step 4: Simplify right side
    853.80x = 775,737.53
  5. Step 5: Solve for x
    x = 775,737.53/853.80
  6. Step 6: Final answer
    x = 908.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.