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Finding the Fourth Proportional to 882, 1,323.36 and 448.92

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Solution

The fourth proportional to 882, 1,323.36 and 448.92 is: 673.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    882 : 1,323.36 = 448.92 : x
  2. Step 2: Convert to fraction form
    882/1,323.36 = 448.92/x
  3. Step 3: Cross multiply
    882x = 1,323.36 × 448.92
  4. Step 4: Simplify right side
    882x = 594,082.77
  5. Step 5: Solve for x
    x = 594,082.77/882
  6. Step 6: Final answer
    x = 673.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.