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Finding the Fourth Proportional to 795.87, 1,186.85 and 698.83

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Solution

The fourth proportional to 795.87, 1,186.85 and 698.83 is: 1,042.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.87 : 1,186.85 = 698.83 : x
  2. Step 2: Convert to fraction form
    795.87/1,186.85 = 698.83/x
  3. Step 3: Cross multiply
    795.87x = 1,186.85 × 698.83
  4. Step 4: Simplify right side
    795.87x = 829,406.39
  5. Step 5: Solve for x
    x = 829,406.39/795.87
  6. Step 6: Final answer
    x = 1,042.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.