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Finding the Fourth Proportional to 1,244.26, 1,864.33 and 833.51

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Solution

The fourth proportional to 1,244.26, 1,864.33 and 833.51 is: 1,248.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.26 : 1,864.33 = 833.51 : x
  2. Step 2: Convert to fraction form
    1,244.26/1,864.33 = 833.51/x
  3. Step 3: Cross multiply
    1,244.26x = 1,864.33 × 833.51
  4. Step 4: Simplify right side
    1,244.26x = 1,553,940.28
  5. Step 5: Solve for x
    x = 1,553,940.28/1,244.26
  6. Step 6: Final answer
    x = 1,248.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.