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Finding the Fourth Proportional to 1,753.74, 2,630.61 and 780.53

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Solution

The fourth proportional to 1,753.74, 2,630.61 and 780.53 is: 1,170.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.74 : 2,630.61 = 780.53 : x
  2. Step 2: Convert to fraction form
    1,753.74/2,630.61 = 780.53/x
  3. Step 3: Cross multiply
    1,753.74x = 2,630.61 × 780.53
  4. Step 4: Simplify right side
    1,753.74x = 2,053,256.87
  5. Step 5: Solve for x
    x = 2,053,256.87/1,753.74
  6. Step 6: Final answer
    x = 1,170.79

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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.