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Finding the Fourth Proportional to 1,320.30, 1,983.24 and 833.69

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Solution

The fourth proportional to 1,320.30, 1,983.24 and 833.69 is: 1,252.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.30 : 1,983.24 = 833.69 : x
  2. Step 2: Convert to fraction form
    1,320.30/1,983.24 = 833.69/x
  3. Step 3: Cross multiply
    1,320.30x = 1,983.24 × 833.69
  4. Step 4: Simplify right side
    1,320.30x = 1,653,397.44
  5. Step 5: Solve for x
    x = 1,653,397.44/1,320.30
  6. Step 6: Final answer
    x = 1,252.29

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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.