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Finding the Fourth Proportional to 1,753.05, 2,628.82 and 656.65

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Solution

The fourth proportional to 1,753.05, 2,628.82 and 656.65 is: 984.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.05 : 2,628.82 = 656.65 : x
  2. Step 2: Convert to fraction form
    1,753.05/2,628.82 = 656.65/x
  3. Step 3: Cross multiply
    1,753.05x = 2,628.82 × 656.65
  4. Step 4: Simplify right side
    1,753.05x = 1,726,214.65
  5. Step 5: Solve for x
    x = 1,726,214.65/1,753.05
  6. Step 6: Final answer
    x = 984.69

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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.