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Finding the Fourth Proportional to 993.14, 1,487.01 and 789.02

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Solution

The fourth proportional to 993.14, 1,487.01 and 789.02 is: 1,181.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.14 : 1,487.01 = 789.02 : x
  2. Step 2: Convert to fraction form
    993.14/1,487.01 = 789.02/x
  3. Step 3: Cross multiply
    993.14x = 1,487.01 × 789.02
  4. Step 4: Simplify right side
    993.14x = 1,173,280.63
  5. Step 5: Solve for x
    x = 1,173,280.63/993.14
  6. Step 6: Final answer
    x = 1,181.38

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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.