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Finding the Fourth Proportional to 1,234.43, 1,703.53 and 674.93

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Solution

The fourth proportional to 1,234.43, 1,703.53 and 674.93 is: 931.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.43 : 1,703.53 = 674.93 : x
  2. Step 2: Convert to fraction form
    1,234.43/1,703.53 = 674.93/x
  3. Step 3: Cross multiply
    1,234.43x = 1,703.53 × 674.93
  4. Step 4: Simplify right side
    1,234.43x = 1,149,753.30
  5. Step 5: Solve for x
    x = 1,149,753.30/1,234.43
  6. Step 6: Final answer
    x = 931.41

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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.