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Finding the Fourth Proportional to 1,398.90, 2,098.34 and 533.21

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Solution

The fourth proportional to 1,398.90, 2,098.34 and 533.21 is: 799.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.90 : 2,098.34 = 533.21 : x
  2. Step 2: Convert to fraction form
    1,398.90/2,098.34 = 533.21/x
  3. Step 3: Cross multiply
    1,398.90x = 2,098.34 × 533.21
  4. Step 4: Simplify right side
    1,398.90x = 1,118,855.87
  5. Step 5: Solve for x
    x = 1,118,855.87/1,398.90
  6. Step 6: Final answer
    x = 799.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.