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Finding the Fourth Proportional to 784.38, 1,082.46 and 435.09

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Solution

The fourth proportional to 784.38, 1,082.46 and 435.09 is: 600.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.38 : 1,082.46 = 435.09 : x
  2. Step 2: Convert to fraction form
    784.38/1,082.46 = 435.09/x
  3. Step 3: Cross multiply
    784.38x = 1,082.46 × 435.09
  4. Step 4: Simplify right side
    784.38x = 470,967.52
  5. Step 5: Solve for x
    x = 470,967.52/784.38
  6. Step 6: Final answer
    x = 600.43

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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.