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Finding the Fourth Proportional to 1,067.46, 1,598.94 and 677.26

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Solution

The fourth proportional to 1,067.46, 1,598.94 and 677.26 is: 1,014.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.46 : 1,598.94 = 677.26 : x
  2. Step 2: Convert to fraction form
    1,067.46/1,598.94 = 677.26/x
  3. Step 3: Cross multiply
    1,067.46x = 1,598.94 × 677.26
  4. Step 4: Simplify right side
    1,067.46x = 1,082,897.90
  5. Step 5: Solve for x
    x = 1,082,897.90/1,067.46
  6. Step 6: Final answer
    x = 1,014.46

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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.