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Finding the Fourth Proportional to 893.76, 1,340.41 and 406.71

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Solution

The fourth proportional to 893.76, 1,340.41 and 406.71 is: 609.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.76 : 1,340.41 = 406.71 : x
  2. Step 2: Convert to fraction form
    893.76/1,340.41 = 406.71/x
  3. Step 3: Cross multiply
    893.76x = 1,340.41 × 406.71
  4. Step 4: Simplify right side
    893.76x = 545,158.15
  5. Step 5: Solve for x
    x = 545,158.15/893.76
  6. Step 6: Final answer
    x = 609.96

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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.