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Finding the Fourth Proportional to 1,020.21, 1,529.84 and 326.75

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Solution

The fourth proportional to 1,020.21, 1,529.84 and 326.75 is: 489.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.21 : 1,529.84 = 326.75 : x
  2. Step 2: Convert to fraction form
    1,020.21/1,529.84 = 326.75/x
  3. Step 3: Cross multiply
    1,020.21x = 1,529.84 × 326.75
  4. Step 4: Simplify right side
    1,020.21x = 499,875.22
  5. Step 5: Solve for x
    x = 499,875.22/1,020.21
  6. Step 6: Final answer
    x = 489.97

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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.