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Finding the Fourth Proportional to 993.66, 1,487.44 and 797.77

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Solution

The fourth proportional to 993.66, 1,487.44 and 797.77 is: 1,194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.66 : 1,487.44 = 797.77 : x
  2. Step 2: Convert to fraction form
    993.66/1,487.44 = 797.77/x
  3. Step 3: Cross multiply
    993.66x = 1,487.44 × 797.77
  4. Step 4: Simplify right side
    993.66x = 1,186,635.01
  5. Step 5: Solve for x
    x = 1,186,635.01/993.66
  6. Step 6: Final answer
    x = 1,194.21

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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.