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Finding the Fourth Proportional to 1,406.35, 2,107.77 and 675.73

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Solution

The fourth proportional to 1,406.35, 2,107.77 and 675.73 is: 1,012.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.35 : 2,107.77 = 675.73 : x
  2. Step 2: Convert to fraction form
    1,406.35/2,107.77 = 675.73/x
  3. Step 3: Cross multiply
    1,406.35x = 2,107.77 × 675.73
  4. Step 4: Simplify right side
    1,406.35x = 1,424,283.42
  5. Step 5: Solve for x
    x = 1,424,283.42/1,406.35
  6. Step 6: Final answer
    x = 1,012.75

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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.