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Finding the Fourth Proportional to 881.63, 1,216.64 and 532.25

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Solution

The fourth proportional to 881.63, 1,216.64 and 532.25 is: 734.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.63 : 1,216.64 = 532.25 : x
  2. Step 2: Convert to fraction form
    881.63/1,216.64 = 532.25/x
  3. Step 3: Cross multiply
    881.63x = 1,216.64 × 532.25
  4. Step 4: Simplify right side
    881.63x = 647,551.89
  5. Step 5: Solve for x
    x = 647,551.89/881.63
  6. Step 6: Final answer
    x = 734.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.