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Finding the Fourth Proportional to 893.98, 1,342.01 and 407.04

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Solution

The fourth proportional to 893.98, 1,342.01 and 407.04 is: 611.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.98 : 1,342.01 = 407.04 : x
  2. Step 2: Convert to fraction form
    893.98/1,342.01 = 407.04/x
  3. Step 3: Cross multiply
    893.98x = 1,342.01 × 407.04
  4. Step 4: Simplify right side
    893.98x = 546,251.75
  5. Step 5: Solve for x
    x = 546,251.75/893.98
  6. Step 6: Final answer
    x = 611.03

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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.