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Finding the Fourth Proportional to 846.92, 1,169.14 and 598.44

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Solution

The fourth proportional to 846.92, 1,169.14 and 598.44 is: 826.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.92 : 1,169.14 = 598.44 : x
  2. Step 2: Convert to fraction form
    846.92/1,169.14 = 598.44/x
  3. Step 3: Cross multiply
    846.92x = 1,169.14 × 598.44
  4. Step 4: Simplify right side
    846.92x = 699,660.14
  5. Step 5: Solve for x
    x = 699,660.14/846.92
  6. Step 6: Final answer
    x = 826.12

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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.