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Finding the Fourth Proportional to 813.40, 1,220.07 and 326.32

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Solution

The fourth proportional to 813.40, 1,220.07 and 326.32 is: 489.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.40 : 1,220.07 = 326.32 : x
  2. Step 2: Convert to fraction form
    813.40/1,220.07 = 326.32/x
  3. Step 3: Cross multiply
    813.40x = 1,220.07 × 326.32
  4. Step 4: Simplify right side
    813.40x = 398,133.24
  5. Step 5: Solve for x
    x = 398,133.24/813.40
  6. Step 6: Final answer
    x = 489.47

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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.