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Finding the Fourth Proportional to 833.37, 1,149.45 and 584.75

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Solution

The fourth proportional to 833.37, 1,149.45 and 584.75 is: 806.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.37 : 1,149.45 = 584.75 : x
  2. Step 2: Convert to fraction form
    833.37/1,149.45 = 584.75/x
  3. Step 3: Cross multiply
    833.37x = 1,149.45 × 584.75
  4. Step 4: Simplify right side
    833.37x = 672,135.14
  5. Step 5: Solve for x
    x = 672,135.14/833.37
  6. Step 6: Final answer
    x = 806.53

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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.