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Finding the Fourth Proportional to 784.09, 1,082.05 and 434.78

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Solution

The fourth proportional to 784.09, 1,082.05 and 434.78 is: 599.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.09 : 1,082.05 = 434.78 : x
  2. Step 2: Convert to fraction form
    784.09/1,082.05 = 434.78/x
  3. Step 3: Cross multiply
    784.09x = 1,082.05 × 434.78
  4. Step 4: Simplify right side
    784.09x = 470,446.11
  5. Step 5: Solve for x
    x = 470,446.11/784.09
  6. Step 6: Final answer
    x = 599.99

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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.