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Finding the Fourth Proportional to 833.86, 1,150.17 and 585.19

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Solution

The fourth proportional to 833.86, 1,150.17 and 585.19 is: 807.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.86 : 1,150.17 = 585.19 : x
  2. Step 2: Convert to fraction form
    833.86/1,150.17 = 585.19/x
  3. Step 3: Cross multiply
    833.86x = 1,150.17 × 585.19
  4. Step 4: Simplify right side
    833.86x = 673,067.98
  5. Step 5: Solve for x
    x = 673,067.98/833.86
  6. Step 6: Final answer
    x = 807.17

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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.