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Finding the Fourth Proportional to 893.80, 1,340.61 and 406.81

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Solution

The fourth proportional to 893.80, 1,340.61 and 406.81 is: 610.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.80 : 1,340.61 = 406.81 : x
  2. Step 2: Convert to fraction form
    893.80/1,340.61 = 406.81/x
  3. Step 3: Cross multiply
    893.80x = 1,340.61 × 406.81
  4. Step 4: Simplify right side
    893.80x = 545,373.55
  5. Step 5: Solve for x
    x = 545,373.55/893.80
  6. Step 6: Final answer
    x = 610.17

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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.