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Finding the Fourth Proportional to 1,753.84, 2,632.38 and 780.76

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Solution

The fourth proportional to 1,753.84, 2,632.38 and 780.76 is: 1,171.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.84 : 2,632.38 = 780.76 : x
  2. Step 2: Convert to fraction form
    1,753.84/2,632.38 = 780.76/x
  3. Step 3: Cross multiply
    1,753.84x = 2,632.38 × 780.76
  4. Step 4: Simplify right side
    1,753.84x = 2,055,257.01
  5. Step 5: Solve for x
    x = 2,055,257.01/1,753.84
  6. Step 6: Final answer
    x = 1,171.86

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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.