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Finding the Fourth Proportional to 795.70, 1,193.55 and 699.70

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Solution

The fourth proportional to 795.70, 1,193.55 and 699.70 is: 1,049.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.70 : 1,193.55 = 699.70 : x
  2. Step 2: Convert to fraction form
    795.70/1,193.55 = 699.70/x
  3. Step 3: Cross multiply
    795.70x = 1,193.55 × 699.70
  4. Step 4: Simplify right side
    795.70x = 835,126.94
  5. Step 5: Solve for x
    x = 835,126.94/795.70
  6. Step 6: Final answer
    x = 1,049.55

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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.