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Finding the Fourth Proportional to 1,519.53, 2,278.50 and 697.09

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Solution

The fourth proportional to 1,519.53, 2,278.50 and 697.09 is: 1,045.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.53 : 2,278.50 = 697.09 : x
  2. Step 2: Convert to fraction form
    1,519.53/2,278.50 = 697.09/x
  3. Step 3: Cross multiply
    1,519.53x = 2,278.50 × 697.09
  4. Step 4: Simplify right side
    1,519.53x = 1,588,319.57
  5. Step 5: Solve for x
    x = 1,588,319.57/1,519.53
  6. Step 6: Final answer
    x = 1,045.27

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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.