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Finding the Fourth Proportional to 1,026.33, 1,539.54 and 333.03

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Solution

The fourth proportional to 1,026.33, 1,539.54 and 333.03 is: 499.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.33 : 1,539.54 = 333.03 : x
  2. Step 2: Convert to fraction form
    1,026.33/1,539.54 = 333.03/x
  3. Step 3: Cross multiply
    1,026.33x = 1,539.54 × 333.03
  4. Step 4: Simplify right side
    1,026.33x = 512,713.01
  5. Step 5: Solve for x
    x = 512,713.01/1,026.33
  6. Step 6: Final answer
    x = 499.56

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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.