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Finding the Fourth Proportional to 784.11, 1,082.06 and 430.02

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Solution

The fourth proportional to 784.11, 1,082.06 and 430.02 is: 593.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.11 : 1,082.06 = 430.02 : x
  2. Step 2: Convert to fraction form
    784.11/1,082.06 = 430.02/x
  3. Step 3: Cross multiply
    784.11x = 1,082.06 × 430.02
  4. Step 4: Simplify right side
    784.11x = 465,306.90
  5. Step 5: Solve for x
    x = 465,306.90/784.11
  6. Step 6: Final answer
    x = 593.42

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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.