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Finding the Fourth Proportional to 1,398.87, 2,098.71 and 533.25

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Solution

The fourth proportional to 1,398.87, 2,098.71 and 533.25 is: 800.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.87 : 2,098.71 = 533.25 : x
  2. Step 2: Convert to fraction form
    1,398.87/2,098.71 = 533.25/x
  3. Step 3: Cross multiply
    1,398.87x = 2,098.71 × 533.25
  4. Step 4: Simplify right side
    1,398.87x = 1,119,137.11
  5. Step 5: Solve for x
    x = 1,119,137.11/1,398.87
  6. Step 6: Final answer
    x = 800.03

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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.