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Finding the Fourth Proportional to 784.22, 1,082.17 and 430.12

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Solution

The fourth proportional to 784.22, 1,082.17 and 430.12 is: 593.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.22 : 1,082.17 = 430.12 : x
  2. Step 2: Convert to fraction form
    784.22/1,082.17 = 430.12/x
  3. Step 3: Cross multiply
    784.22x = 1,082.17 × 430.12
  4. Step 4: Simplify right side
    784.22x = 465,462.96
  5. Step 5: Solve for x
    x = 465,462.96/784.22
  6. Step 6: Final answer
    x = 593.54

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1.5x scale

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.