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Finding the Fourth Proportional to 1,021.20, 1,529.04 and 533.25

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Solution

The fourth proportional to 1,021.20, 1,529.04 and 533.25 is: 798.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.20 : 1,529.04 = 533.25 : x
  2. Step 2: Convert to fraction form
    1,021.20/1,529.04 = 533.25/x
  3. Step 3: Cross multiply
    1,021.20x = 1,529.04 × 533.25
  4. Step 4: Simplify right side
    1,021.20x = 815,360.58
  5. Step 5: Solve for x
    x = 815,360.58/1,021.20
  6. Step 6: Final answer
    x = 798.43

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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.