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Finding the Fourth Proportional to 1,008.23, 1,511.62 and 391.41

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Solution

The fourth proportional to 1,008.23, 1,511.62 and 391.41 is: 586.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.23 : 1,511.62 = 391.41 : x
  2. Step 2: Convert to fraction form
    1,008.23/1,511.62 = 391.41/x
  3. Step 3: Cross multiply
    1,008.23x = 1,511.62 × 391.41
  4. Step 4: Simplify right side
    1,008.23x = 591,664.16
  5. Step 5: Solve for x
    x = 591,664.16/1,008.23
  6. Step 6: Final answer
    x = 586.84

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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.