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Finding the Fourth Proportional to 1,235.70, 1,704.78 and 793.53

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Solution

The fourth proportional to 1,235.70, 1,704.78 and 793.53 is: 1,094.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.70 : 1,704.78 = 793.53 : x
  2. Step 2: Convert to fraction form
    1,235.70/1,704.78 = 793.53/x
  3. Step 3: Cross multiply
    1,235.70x = 1,704.78 × 793.53
  4. Step 4: Simplify right side
    1,235.70x = 1,352,794.07
  5. Step 5: Solve for x
    x = 1,352,794.07/1,235.70
  6. Step 6: Final answer
    x = 1,094.76

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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.