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Finding the Fourth Proportional to 784.37, 1,082.30 and 452.84

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Solution

The fourth proportional to 784.37, 1,082.30 and 452.84 is: 624.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.37 : 1,082.30 = 452.84 : x
  2. Step 2: Convert to fraction form
    784.37/1,082.30 = 452.84/x
  3. Step 3: Cross multiply
    784.37x = 1,082.30 × 452.84
  4. Step 4: Simplify right side
    784.37x = 490,109.86
  5. Step 5: Solve for x
    x = 490,109.86/784.37
  6. Step 6: Final answer
    x = 624.85

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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.