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Finding the Fourth Proportional to 1,559.50, 2,335.67 and 777.09

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Solution

The fourth proportional to 1,559.50, 2,335.67 and 777.09 is: 1,163.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.50 : 2,335.67 = 777.09 : x
  2. Step 2: Convert to fraction form
    1,559.50/2,335.67 = 777.09/x
  3. Step 3: Cross multiply
    1,559.50x = 2,335.67 × 777.09
  4. Step 4: Simplify right side
    1,559.50x = 1,815,033.59
  5. Step 5: Solve for x
    x = 1,815,033.59/1,559.50
  6. Step 6: Final answer
    x = 1,163.85

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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.