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Finding the Fourth Proportional to 784.13, 1,082.16 and 434.88

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Solution

The fourth proportional to 784.13, 1,082.16 and 434.88 is: 600.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.13 : 1,082.16 = 434.88 : x
  2. Step 2: Convert to fraction form
    784.13/1,082.16 = 434.88/x
  3. Step 3: Cross multiply
    784.13x = 1,082.16 × 434.88
  4. Step 4: Simplify right side
    784.13x = 470,609.74
  5. Step 5: Solve for x
    x = 470,609.74/784.13
  6. Step 6: Final answer
    x = 600.17

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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.