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Finding the Fourth Proportional to 784.33, 1,174.62 and 454.57

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Solution

The fourth proportional to 784.33, 1,174.62 and 454.57 is: 680.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.33 : 1,174.62 = 454.57 : x
  2. Step 2: Convert to fraction form
    784.33/1,174.62 = 454.57/x
  3. Step 3: Cross multiply
    784.33x = 1,174.62 × 454.57
  4. Step 4: Simplify right side
    784.33x = 533,942.37
  5. Step 5: Solve for x
    x = 533,942.37/784.33
  6. Step 6: Final answer
    x = 680.76

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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.