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Finding the Fourth Proportional to 825.83, 1,139.67 and 452.84

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Solution

The fourth proportional to 825.83, 1,139.67 and 452.84 is: 624.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.83 : 1,139.67 = 452.84 : x
  2. Step 2: Convert to fraction form
    825.83/1,139.67 = 452.84/x
  3. Step 3: Cross multiply
    825.83x = 1,139.67 × 452.84
  4. Step 4: Simplify right side
    825.83x = 516,082.46
  5. Step 5: Solve for x
    x = 516,082.46/825.83
  6. Step 6: Final answer
    x = 624.93

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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.