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Finding the Fourth Proportional to 1,577.44, 2,366.46 and 711.75

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Solution

The fourth proportional to 1,577.44, 2,366.46 and 711.75 is: 1,067.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.44 : 2,366.46 = 711.75 : x
  2. Step 2: Convert to fraction form
    1,577.44/2,366.46 = 711.75/x
  3. Step 3: Cross multiply
    1,577.44x = 2,366.46 × 711.75
  4. Step 4: Simplify right side
    1,577.44x = 1,684,327.91
  5. Step 5: Solve for x
    x = 1,684,327.91/1,577.44
  6. Step 6: Final answer
    x = 1,067.76

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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.