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Finding the Fourth Proportional to 845.66, 1,167 and 596.72

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Solution

The fourth proportional to 845.66, 1,167 and 596.72 is: 823.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.66 : 1,167 = 596.72 : x
  2. Step 2: Convert to fraction form
    845.66/1,167 = 596.72/x
  3. Step 3: Cross multiply
    845.66x = 1,167 × 596.72
  4. Step 4: Simplify right side
    845.66x = 696,372.24
  5. Step 5: Solve for x
    x = 696,372.24/845.66
  6. Step 6: Final answer
    x = 823.47

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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.