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Finding the Fourth Proportional to 1,019.97, 1,529.31 and 326.34

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Solution

The fourth proportional to 1,019.97, 1,529.31 and 326.34 is: 489.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.97 : 1,529.31 = 326.34 : x
  2. Step 2: Convert to fraction form
    1,019.97/1,529.31 = 326.34/x
  3. Step 3: Cross multiply
    1,019.97x = 1,529.31 × 326.34
  4. Step 4: Simplify right side
    1,019.97x = 499,075.03
  5. Step 5: Solve for x
    x = 499,075.03/1,019.97
  6. Step 6: Final answer
    x = 489.30

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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.