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Finding the Fourth Proportional to 1,162.27, 1,751.40 and 961.36

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Solution

The fourth proportional to 1,162.27, 1,751.40 and 961.36 is: 1,448.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.27 : 1,751.40 = 961.36 : x
  2. Step 2: Convert to fraction form
    1,162.27/1,751.40 = 961.36/x
  3. Step 3: Cross multiply
    1,162.27x = 1,751.40 × 961.36
  4. Step 4: Simplify right side
    1,162.27x = 1,683,725.90
  5. Step 5: Solve for x
    x = 1,683,725.90/1,162.27
  6. Step 6: Final answer
    x = 1,448.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.