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Finding the Fourth Proportional to 1,355.06, 2,031.66 and 533.43

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Solution

The fourth proportional to 1,355.06, 2,031.66 and 533.43 is: 799.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.06 : 2,031.66 = 533.43 : x
  2. Step 2: Convert to fraction form
    1,355.06/2,031.66 = 533.43/x
  3. Step 3: Cross multiply
    1,355.06x = 2,031.66 × 533.43
  4. Step 4: Simplify right side
    1,355.06x = 1,083,748.39
  5. Step 5: Solve for x
    x = 1,083,748.39/1,355.06
  6. Step 6: Final answer
    x = 799.78

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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.