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Finding the Fourth Proportional to 882.41, 1,323.63 and 511.99

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Solution

The fourth proportional to 882.41, 1,323.63 and 511.99 is: 767.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.41 : 1,323.63 = 511.99 : x
  2. Step 2: Convert to fraction form
    882.41/1,323.63 = 511.99/x
  3. Step 3: Cross multiply
    882.41x = 1,323.63 × 511.99
  4. Step 4: Simplify right side
    882.41x = 677,682.01
  5. Step 5: Solve for x
    x = 677,682.01/882.41
  6. Step 6: Final answer
    x = 767.99

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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.