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Finding the Fourth Proportional to 882.66, 1,217.91 and 533.22

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Solution

The fourth proportional to 882.66, 1,217.91 and 533.22 is: 735.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.66 : 1,217.91 = 533.22 : x
  2. Step 2: Convert to fraction form
    882.66/1,217.91 = 533.22/x
  3. Step 3: Cross multiply
    882.66x = 1,217.91 × 533.22
  4. Step 4: Simplify right side
    882.66x = 649,413.97
  5. Step 5: Solve for x
    x = 649,413.97/882.66
  6. Step 6: Final answer
    x = 735.75

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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.