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Finding the Fourth Proportional to 893.01, 1,339.01 and 405.46

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Solution

The fourth proportional to 893.01, 1,339.01 and 405.46 is: 607.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.01 : 1,339.01 = 405.46 : x
  2. Step 2: Convert to fraction form
    893.01/1,339.01 = 405.46/x
  3. Step 3: Cross multiply
    893.01x = 1,339.01 × 405.46
  4. Step 4: Simplify right side
    893.01x = 542,914.99
  5. Step 5: Solve for x
    x = 542,914.99/893.01
  6. Step 6: Final answer
    x = 607.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.