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Finding the Fourth Proportional to 833.92, 1,151.09 and 569.66

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Solution

The fourth proportional to 833.92, 1,151.09 and 569.66 is: 786.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.92 : 1,151.09 = 569.66 : x
  2. Step 2: Convert to fraction form
    833.92/1,151.09 = 569.66/x
  3. Step 3: Cross multiply
    833.92x = 1,151.09 × 569.66
  4. Step 4: Simplify right side
    833.92x = 655,729.93
  5. Step 5: Solve for x
    x = 655,729.93/833.92
  6. Step 6: Final answer
    x = 786.32

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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.