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Finding the Fourth Proportional to 784.10, 1,082.27 and 489.20

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Solution

The fourth proportional to 784.10, 1,082.27 and 489.20 is: 675.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.10 : 1,082.27 = 489.20 : x
  2. Step 2: Convert to fraction form
    784.10/1,082.27 = 489.20/x
  3. Step 3: Cross multiply
    784.10x = 1,082.27 × 489.20
  4. Step 4: Simplify right side
    784.10x = 529,438.63
  5. Step 5: Solve for x
    x = 529,438.63/784.10
  6. Step 6: Final answer
    x = 675.22

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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.