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Finding the Fourth Proportional to 842.29, 1,263.44 and 459.97

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Solution

The fourth proportional to 842.29, 1,263.44 and 459.97 is: 689.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.29 : 1,263.44 = 459.97 : x
  2. Step 2: Convert to fraction form
    842.29/1,263.44 = 459.97/x
  3. Step 3: Cross multiply
    842.29x = 1,263.44 × 459.97
  4. Step 4: Simplify right side
    842.29x = 581,139.04
  5. Step 5: Solve for x
    x = 581,139.04/842.29
  6. Step 6: Final answer
    x = 689.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.