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Finding the Fourth Proportional to 822.55, 1,134.38 and 682.44

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Solution

The fourth proportional to 822.55, 1,134.38 and 682.44 is: 941.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.55 : 1,134.38 = 682.44 : x
  2. Step 2: Convert to fraction form
    822.55/1,134.38 = 682.44/x
  3. Step 3: Cross multiply
    822.55x = 1,134.38 × 682.44
  4. Step 4: Simplify right side
    822.55x = 774,145.92
  5. Step 5: Solve for x
    x = 774,145.92/822.55
  6. Step 6: Final answer
    x = 941.16

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Double scale
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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.