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Finding the Fourth Proportional to 1,544.34, 2,314.62 and 677.64

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Solution

The fourth proportional to 1,544.34, 2,314.62 and 677.64 is: 1,015.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.34 : 2,314.62 = 677.64 : x
  2. Step 2: Convert to fraction form
    1,544.34/2,314.62 = 677.64/x
  3. Step 3: Cross multiply
    1,544.34x = 2,314.62 × 677.64
  4. Step 4: Simplify right side
    1,544.34x = 1,568,479.10
  5. Step 5: Solve for x
    x = 1,568,479.10/1,544.34
  6. Step 6: Final answer
    x = 1,015.63

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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.