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Finding the Fourth Proportional to 846.05, 1,166.22 and 596.98

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Solution

The fourth proportional to 846.05, 1,166.22 and 596.98 is: 822.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.05 : 1,166.22 = 596.98 : x
  2. Step 2: Convert to fraction form
    846.05/1,166.22 = 596.98/x
  3. Step 3: Cross multiply
    846.05x = 1,166.22 × 596.98
  4. Step 4: Simplify right side
    846.05x = 696,207.10
  5. Step 5: Solve for x
    x = 696,207.10/846.05
  6. Step 6: Final answer
    x = 822.89

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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.