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Finding the Fourth Proportional to 843.86, 1,165.23 and 595.73

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Solution

The fourth proportional to 843.86, 1,165.23 and 595.73 is: 822.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.86 : 1,165.23 = 595.73 : x
  2. Step 2: Convert to fraction form
    843.86/1,165.23 = 595.73/x
  3. Step 3: Cross multiply
    843.86x = 1,165.23 × 595.73
  4. Step 4: Simplify right side
    843.86x = 694,162.47
  5. Step 5: Solve for x
    x = 694,162.47/843.86
  6. Step 6: Final answer
    x = 822.60

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1.5x scale

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.