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Finding the Fourth Proportional to 836.75, 1,154.25 and 584.57

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Solution

The fourth proportional to 836.75, 1,154.25 and 584.57 is: 806.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.75 : 1,154.25 = 584.57 : x
  2. Step 2: Convert to fraction form
    836.75/1,154.25 = 584.57/x
  3. Step 3: Cross multiply
    836.75x = 1,154.25 × 584.57
  4. Step 4: Simplify right side
    836.75x = 674,739.92
  5. Step 5: Solve for x
    x = 674,739.92/836.75
  6. Step 6: Final answer
    x = 806.38

Related Problems

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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.