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Finding the Fourth Proportional to 858.11, 1,184.78 and 658.60

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Solution

The fourth proportional to 858.11, 1,184.78 and 658.60 is: 909.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.11 : 1,184.78 = 658.60 : x
  2. Step 2: Convert to fraction form
    858.11/1,184.78 = 658.60/x
  3. Step 3: Cross multiply
    858.11x = 1,184.78 × 658.60
  4. Step 4: Simplify right side
    858.11x = 780,296.11
  5. Step 5: Solve for x
    x = 780,296.11/858.11
  6. Step 6: Final answer
    x = 909.32

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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.