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Finding the Fourth Proportional to 937.71, 1,294.58 and 833.91

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Solution

The fourth proportional to 937.71, 1,294.58 and 833.91 is: 1,151.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.71 : 1,294.58 = 833.91 : x
  2. Step 2: Convert to fraction form
    937.71/1,294.58 = 833.91/x
  3. Step 3: Cross multiply
    937.71x = 1,294.58 × 833.91
  4. Step 4: Simplify right side
    937.71x = 1,079,563.21
  5. Step 5: Solve for x
    x = 1,079,563.21/937.71
  6. Step 6: Final answer
    x = 1,151.28

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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.