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Finding the Fourth Proportional to 1,288.83, 1,780.04 and 997.64

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Solution

The fourth proportional to 1,288.83, 1,780.04 and 997.64 is: 1,377.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.83 : 1,780.04 = 997.64 : x
  2. Step 2: Convert to fraction form
    1,288.83/1,780.04 = 997.64/x
  3. Step 3: Cross multiply
    1,288.83x = 1,780.04 × 997.64
  4. Step 4: Simplify right side
    1,288.83x = 1,775,839.11
  5. Step 5: Solve for x
    x = 1,775,839.11/1,288.83
  6. Step 6: Final answer
    x = 1,377.87

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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.