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Finding the Fourth Proportional to 662.79, 913.86 and 584.85

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Solution

The fourth proportional to 662.79, 913.86 and 584.85 is: 806.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.79 : 913.86 = 584.85 : x
  2. Step 2: Convert to fraction form
    662.79/913.86 = 584.85/x
  3. Step 3: Cross multiply
    662.79x = 913.86 × 584.85
  4. Step 4: Simplify right side
    662.79x = 534,471.02
  5. Step 5: Solve for x
    x = 534,471.02/662.79
  6. Step 6: Final answer
    x = 806.40

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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.