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Finding the Fourth Proportional to 882.60, 1,323.24 and 419.88

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Solution

The fourth proportional to 882.60, 1,323.24 and 419.88 is: 629.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.60 : 1,323.24 = 419.88 : x
  2. Step 2: Convert to fraction form
    882.60/1,323.24 = 419.88/x
  3. Step 3: Cross multiply
    882.60x = 1,323.24 × 419.88
  4. Step 4: Simplify right side
    882.60x = 555,605.40
  5. Step 5: Solve for x
    x = 555,605.40/882.60
  6. Step 6: Final answer
    x = 629.51

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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.