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Finding the Fourth Proportional to 784.42, 1,082.02 and 518.86

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Solution

The fourth proportional to 784.42, 1,082.02 and 518.86 is: 715.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.42 : 1,082.02 = 518.86 : x
  2. Step 2: Convert to fraction form
    784.42/1,082.02 = 518.86/x
  3. Step 3: Cross multiply
    784.42x = 1,082.02 × 518.86
  4. Step 4: Simplify right side
    784.42x = 561,416.90
  5. Step 5: Solve for x
    x = 561,416.90/784.42
  6. Step 6: Final answer
    x = 715.71

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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.