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Finding the Fourth Proportional to 1,399.17, 2,099.70 and 533.46

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Solution

The fourth proportional to 1,399.17, 2,099.70 and 533.46 is: 800.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.17 : 2,099.70 = 533.46 : x
  2. Step 2: Convert to fraction form
    1,399.17/2,099.70 = 533.46/x
  3. Step 3: Cross multiply
    1,399.17x = 2,099.70 × 533.46
  4. Step 4: Simplify right side
    1,399.17x = 1,120,105.96
  5. Step 5: Solve for x
    x = 1,120,105.96/1,399.17
  6. Step 6: Final answer
    x = 800.55

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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.