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Finding the Fourth Proportional to 1,133.89, 1,701.26 and 772.09

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Solution

The fourth proportional to 1,133.89, 1,701.26 and 772.09 is: 1,158.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.89 : 1,701.26 = 772.09 : x
  2. Step 2: Convert to fraction form
    1,133.89/1,701.26 = 772.09/x
  3. Step 3: Cross multiply
    1,133.89x = 1,701.26 × 772.09
  4. Step 4: Simplify right side
    1,133.89x = 1,313,525.83
  5. Step 5: Solve for x
    x = 1,313,525.83/1,133.89
  6. Step 6: Final answer
    x = 1,158.42

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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.