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Finding the Fourth Proportional to 783.74, 1,174.68 and 321.23

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Solution

The fourth proportional to 783.74, 1,174.68 and 321.23 is: 481.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.74 : 1,174.68 = 321.23 : x
  2. Step 2: Convert to fraction form
    783.74/1,174.68 = 321.23/x
  3. Step 3: Cross multiply
    783.74x = 1,174.68 × 321.23
  4. Step 4: Simplify right side
    783.74x = 377,342.46
  5. Step 5: Solve for x
    x = 377,342.46/783.74
  6. Step 6: Final answer
    x = 481.46

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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.