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Finding the Fourth Proportional to 871.60, 1,203.28 and 593.32

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Solution

The fourth proportional to 871.60, 1,203.28 and 593.32 is: 819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.60 : 1,203.28 = 593.32 : x
  2. Step 2: Convert to fraction form
    871.60/1,203.28 = 593.32/x
  3. Step 3: Cross multiply
    871.60x = 1,203.28 × 593.32
  4. Step 4: Simplify right side
    871.60x = 713,930.09
  5. Step 5: Solve for x
    x = 713,930.09/871.60
  6. Step 6: Final answer
    x = 819.10

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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.