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Finding the Fourth Proportional to 893.50, 1,340.16 and 406.42

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Solution

The fourth proportional to 893.50, 1,340.16 and 406.42 is: 609.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.50 : 1,340.16 = 406.42 : x
  2. Step 2: Convert to fraction form
    893.50/1,340.16 = 406.42/x
  3. Step 3: Cross multiply
    893.50x = 1,340.16 × 406.42
  4. Step 4: Simplify right side
    893.50x = 544,667.83
  5. Step 5: Solve for x
    x = 544,667.83/893.50
  6. Step 6: Final answer
    x = 609.59

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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.