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Finding the Fourth Proportional to 784.25, 1,082.24 and 430.16

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Solution

The fourth proportional to 784.25, 1,082.24 and 430.16 is: 593.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.25 : 1,082.24 = 430.16 : x
  2. Step 2: Convert to fraction form
    784.25/1,082.24 = 430.16/x
  3. Step 3: Cross multiply
    784.25x = 1,082.24 × 430.16
  4. Step 4: Simplify right side
    784.25x = 465,536.36
  5. Step 5: Solve for x
    x = 465,536.36/784.25
  6. Step 6: Final answer
    x = 593.61

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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.