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Finding the Fourth Proportional to 1,255.05, 1,878.39 and 698.88

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Solution

The fourth proportional to 1,255.05, 1,878.39 and 698.88 is: 1,045.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.05 : 1,878.39 = 698.88 : x
  2. Step 2: Convert to fraction form
    1,255.05/1,878.39 = 698.88/x
  3. Step 3: Cross multiply
    1,255.05x = 1,878.39 × 698.88
  4. Step 4: Simplify right side
    1,255.05x = 1,312,769.20
  5. Step 5: Solve for x
    x = 1,312,769.20/1,255.05
  6. Step 6: Final answer
    x = 1,045.99

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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.