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Finding the Fourth Proportional to 1,288.91, 1,934.69 and 803.12

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Solution

The fourth proportional to 1,288.91, 1,934.69 and 803.12 is: 1,205.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.91 : 1,934.69 = 803.12 : x
  2. Step 2: Convert to fraction form
    1,288.91/1,934.69 = 803.12/x
  3. Step 3: Cross multiply
    1,288.91x = 1,934.69 × 803.12
  4. Step 4: Simplify right side
    1,288.91x = 1,553,774.54
  5. Step 5: Solve for x
    x = 1,553,774.54/1,288.91
  6. Step 6: Final answer
    x = 1,205.49

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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.