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Finding the Fourth Proportional to 833.91, 1,149.54 and 686.31

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Solution

The fourth proportional to 833.91, 1,149.54 and 686.31 is: 946.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.91 : 1,149.54 = 686.31 : x
  2. Step 2: Convert to fraction form
    833.91/1,149.54 = 686.31/x
  3. Step 3: Cross multiply
    833.91x = 1,149.54 × 686.31
  4. Step 4: Simplify right side
    833.91x = 788,940.80
  5. Step 5: Solve for x
    x = 788,940.80/833.91
  6. Step 6: Final answer
    x = 946.07

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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.