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Finding the Fourth Proportional to 805.92, 1,112.08 and 596.20

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Solution

The fourth proportional to 805.92, 1,112.08 and 596.20 is: 822.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.92 : 1,112.08 = 596.20 : x
  2. Step 2: Convert to fraction form
    805.92/1,112.08 = 596.20/x
  3. Step 3: Cross multiply
    805.92x = 1,112.08 × 596.20
  4. Step 4: Simplify right side
    805.92x = 663,022.10
  5. Step 5: Solve for x
    x = 663,022.10/805.92
  6. Step 6: Final answer
    x = 822.69

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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.