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Finding the Fourth Proportional to 784.43, 1,175.61 and 321.66

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Solution

The fourth proportional to 784.43, 1,175.61 and 321.66 is: 482.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.43 : 1,175.61 = 321.66 : x
  2. Step 2: Convert to fraction form
    784.43/1,175.61 = 321.66/x
  3. Step 3: Cross multiply
    784.43x = 1,175.61 × 321.66
  4. Step 4: Simplify right side
    784.43x = 378,146.71
  5. Step 5: Solve for x
    x = 378,146.71/784.43
  6. Step 6: Final answer
    x = 482.07

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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.