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Finding the Fourth Proportional to 1,162.13, 1,603.94 and 696.38

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Solution

The fourth proportional to 1,162.13, 1,603.94 and 696.38 is: 961.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.13 : 1,603.94 = 696.38 : x
  2. Step 2: Convert to fraction form
    1,162.13/1,603.94 = 696.38/x
  3. Step 3: Cross multiply
    1,162.13x = 1,603.94 × 696.38
  4. Step 4: Simplify right side
    1,162.13x = 1,116,940.24
  5. Step 5: Solve for x
    x = 1,116,940.24/1,162.13
  6. Step 6: Final answer
    x = 961.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.