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Finding the Fourth Proportional to 1,164.31, 1,747.07 and 774.58

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Solution

The fourth proportional to 1,164.31, 1,747.07 and 774.58 is: 1,162.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.31 : 1,747.07 = 774.58 : x
  2. Step 2: Convert to fraction form
    1,164.31/1,747.07 = 774.58/x
  3. Step 3: Cross multiply
    1,164.31x = 1,747.07 × 774.58
  4. Step 4: Simplify right side
    1,164.31x = 1,353,245.48
  5. Step 5: Solve for x
    x = 1,353,245.48/1,164.31
  6. Step 6: Final answer
    x = 1,162.27

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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.