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Finding the Fourth Proportional to 784.21, 1,082.24 and 430.15

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Solution

The fourth proportional to 784.21, 1,082.24 and 430.15 is: 593.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.21 : 1,082.24 = 430.15 : x
  2. Step 2: Convert to fraction form
    784.21/1,082.24 = 430.15/x
  3. Step 3: Cross multiply
    784.21x = 1,082.24 × 430.15
  4. Step 4: Simplify right side
    784.21x = 465,524.74
  5. Step 5: Solve for x
    x = 465,524.74/784.21
  6. Step 6: Final answer
    x = 593.62

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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.