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Finding the Fourth Proportional to 882.70, 1,322.83 and 394.88

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Solution

The fourth proportional to 882.70, 1,322.83 and 394.88 is: 591.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.70 : 1,322.83 = 394.88 : x
  2. Step 2: Convert to fraction form
    882.70/1,322.83 = 394.88/x
  3. Step 3: Cross multiply
    882.70x = 1,322.83 × 394.88
  4. Step 4: Simplify right side
    882.70x = 522,352.99
  5. Step 5: Solve for x
    x = 522,352.99/882.70
  6. Step 6: Final answer
    x = 591.77

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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.