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Finding the Fourth Proportional to 893.80, 1,233.62 and 539.92

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Solution

The fourth proportional to 893.80, 1,233.62 and 539.92 is: 745.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.80 : 1,233.62 = 539.92 : x
  2. Step 2: Convert to fraction form
    893.80/1,233.62 = 539.92/x
  3. Step 3: Cross multiply
    893.80x = 1,233.62 × 539.92
  4. Step 4: Simplify right side
    893.80x = 666,056.11
  5. Step 5: Solve for x
    x = 666,056.11/893.80
  6. Step 6: Final answer
    x = 745.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.