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Finding the Fourth Proportional to 993.30, 1,487.32 and 838.86

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Solution

The fourth proportional to 993.30, 1,487.32 and 838.86 is: 1,256.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.30 : 1,487.32 = 838.86 : x
  2. Step 2: Convert to fraction form
    993.30/1,487.32 = 838.86/x
  3. Step 3: Cross multiply
    993.30x = 1,487.32 × 838.86
  4. Step 4: Simplify right side
    993.30x = 1,247,653.26
  5. Step 5: Solve for x
    x = 1,247,653.26/993.30
  6. Step 6: Final answer
    x = 1,256.07

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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.