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Finding the Fourth Proportional to 784.58, 1,082.67 and 489.83

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Solution

The fourth proportional to 784.58, 1,082.67 and 489.83 is: 675.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.58 : 1,082.67 = 489.83 : x
  2. Step 2: Convert to fraction form
    784.58/1,082.67 = 489.83/x
  3. Step 3: Cross multiply
    784.58x = 1,082.67 × 489.83
  4. Step 4: Simplify right side
    784.58x = 530,324.25
  5. Step 5: Solve for x
    x = 530,324.25/784.58
  6. Step 6: Final answer
    x = 675.93

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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.