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Finding the Fourth Proportional to 826.14, 1,140.93 and 696.18

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Solution

The fourth proportional to 826.14, 1,140.93 and 696.18 is: 961.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.14 : 1,140.93 = 696.18 : x
  2. Step 2: Convert to fraction form
    826.14/1,140.93 = 696.18/x
  3. Step 3: Cross multiply
    826.14x = 1,140.93 × 696.18
  4. Step 4: Simplify right side
    826.14x = 794,292.65
  5. Step 5: Solve for x
    x = 794,292.65/826.14
  6. Step 6: Final answer
    x = 961.45

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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.