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Finding the Fourth Proportional to 784, 1,081.80 and 434.68

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Solution

The fourth proportional to 784, 1,081.80 and 434.68 is: 599.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    784 : 1,081.80 = 434.68 : x
  2. Step 2: Convert to fraction form
    784/1,081.80 = 434.68/x
  3. Step 3: Cross multiply
    784x = 1,081.80 × 434.68
  4. Step 4: Simplify right side
    784x = 470,236.82
  5. Step 5: Solve for x
    x = 470,236.82/784
  6. Step 6: Final answer
    x = 599.79

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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.