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Finding the Fourth Proportional to 1,234.74, 1,703.77 and 703.56

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Solution

The fourth proportional to 1,234.74, 1,703.77 and 703.56 is: 970.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.74 : 1,703.77 = 703.56 : x
  2. Step 2: Convert to fraction form
    1,234.74/1,703.77 = 703.56/x
  3. Step 3: Cross multiply
    1,234.74x = 1,703.77 × 703.56
  4. Step 4: Simplify right side
    1,234.74x = 1,198,704.42
  5. Step 5: Solve for x
    x = 1,198,704.42/1,234.74
  6. Step 6: Final answer
    x = 970.82

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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.