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Finding the Fourth Proportional to 882.14, 1,324.07 and 471.56

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Solution

The fourth proportional to 882.14, 1,324.07 and 471.56 is: 707.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.14 : 1,324.07 = 471.56 : x
  2. Step 2: Convert to fraction form
    882.14/1,324.07 = 471.56/x
  3. Step 3: Cross multiply
    882.14x = 1,324.07 × 471.56
  4. Step 4: Simplify right side
    882.14x = 624,382.94
  5. Step 5: Solve for x
    x = 624,382.94/882.14
  6. Step 6: Final answer
    x = 707.80

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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.