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Finding the Fourth Proportional to 805.83, 1,111.77 and 658.41

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Solution

The fourth proportional to 805.83, 1,111.77 and 658.41 is: 908.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.83 : 1,111.77 = 658.41 : x
  2. Step 2: Convert to fraction form
    805.83/1,111.77 = 658.41/x
  3. Step 3: Cross multiply
    805.83x = 1,111.77 × 658.41
  4. Step 4: Simplify right side
    805.83x = 732,000.49
  5. Step 5: Solve for x
    x = 732,000.49/805.83
  6. Step 6: Final answer
    x = 908.38

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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.