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Finding the Fourth Proportional to 1,020.26, 1,530.01 and 326.74

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Solution

The fourth proportional to 1,020.26, 1,530.01 and 326.74 is: 489.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.26 : 1,530.01 = 326.74 : x
  2. Step 2: Convert to fraction form
    1,020.26/1,530.01 = 326.74/x
  3. Step 3: Cross multiply
    1,020.26x = 1,530.01 × 326.74
  4. Step 4: Simplify right side
    1,020.26x = 499,915.47
  5. Step 5: Solve for x
    x = 499,915.47/1,020.26
  6. Step 6: Final answer
    x = 489.99

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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.