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Finding the Fourth Proportional to 1,398.64, 2,098.03 and 533.02

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Solution

The fourth proportional to 1,398.64, 2,098.03 and 533.02 is: 799.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.64 : 2,098.03 = 533.02 : x
  2. Step 2: Convert to fraction form
    1,398.64/2,098.03 = 533.02/x
  3. Step 3: Cross multiply
    1,398.64x = 2,098.03 × 533.02
  4. Step 4: Simplify right side
    1,398.64x = 1,118,291.95
  5. Step 5: Solve for x
    x = 1,118,291.95/1,398.64
  6. Step 6: Final answer
    x = 799.56

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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.