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Finding the Fourth Proportional to 842.99, 1,262.61 and 409.23

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Solution

The fourth proportional to 842.99, 1,262.61 and 409.23 is: 612.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.99 : 1,262.61 = 409.23 : x
  2. Step 2: Convert to fraction form
    842.99/1,262.61 = 409.23/x
  3. Step 3: Cross multiply
    842.99x = 1,262.61 × 409.23
  4. Step 4: Simplify right side
    842.99x = 516,697.89
  5. Step 5: Solve for x
    x = 516,697.89/842.99
  6. Step 6: Final answer
    x = 612.94

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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.