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Finding the Fourth Proportional to 893.93, 1,342.41 and 549.27

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Solution

The fourth proportional to 893.93, 1,342.41 and 549.27 is: 824.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.93 : 1,342.41 = 549.27 : x
  2. Step 2: Convert to fraction form
    893.93/1,342.41 = 549.27/x
  3. Step 3: Cross multiply
    893.93x = 1,342.41 × 549.27
  4. Step 4: Simplify right side
    893.93x = 737,345.54
  5. Step 5: Solve for x
    x = 737,345.54/893.93
  6. Step 6: Final answer
    x = 824.84

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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.