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Finding the Fourth Proportional to 1,753.29, 2,628.38 and 656.89

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Solution

The fourth proportional to 1,753.29, 2,628.38 and 656.89 is: 984.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.29 : 2,628.38 = 656.89 : x
  2. Step 2: Convert to fraction form
    1,753.29/2,628.38 = 656.89/x
  3. Step 3: Cross multiply
    1,753.29x = 2,628.38 × 656.89
  4. Step 4: Simplify right side
    1,753.29x = 1,726,551.61
  5. Step 5: Solve for x
    x = 1,726,551.61/1,753.29
  6. Step 6: Final answer
    x = 984.75

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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.