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Finding the Fourth Proportional to 1,551.57, 2,326.89 and 760.44

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Solution

The fourth proportional to 1,551.57, 2,326.89 and 760.44 is: 1,140.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.57 : 2,326.89 = 760.44 : x
  2. Step 2: Convert to fraction form
    1,551.57/2,326.89 = 760.44/x
  3. Step 3: Cross multiply
    1,551.57x = 2,326.89 × 760.44
  4. Step 4: Simplify right side
    1,551.57x = 1,769,458.72
  5. Step 5: Solve for x
    x = 1,769,458.72/1,551.57
  6. Step 6: Final answer
    x = 1,140.43

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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.