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Finding the Fourth Proportional to 881.26, 1,322.02 and 534.86

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Solution

The fourth proportional to 881.26, 1,322.02 and 534.86 is: 802.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.26 : 1,322.02 = 534.86 : x
  2. Step 2: Convert to fraction form
    881.26/1,322.02 = 534.86/x
  3. Step 3: Cross multiply
    881.26x = 1,322.02 × 534.86
  4. Step 4: Simplify right side
    881.26x = 707,095.62
  5. Step 5: Solve for x
    x = 707,095.62/881.26
  6. Step 6: Final answer
    x = 802.37

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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.