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Finding the Fourth Proportional to 881.92, 1,322.07 and 471.34

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Solution

The fourth proportional to 881.92, 1,322.07 and 471.34 is: 706.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.92 : 1,322.07 = 471.34 : x
  2. Step 2: Convert to fraction form
    881.92/1,322.07 = 471.34/x
  3. Step 3: Cross multiply
    881.92x = 1,322.07 × 471.34
  4. Step 4: Simplify right side
    881.92x = 623,144.47
  5. Step 5: Solve for x
    x = 623,144.47/881.92
  6. Step 6: Final answer
    x = 706.58

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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.