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Finding the Fourth Proportional to 986.13, 1,359.60 and 808.45

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Solution

The fourth proportional to 986.13, 1,359.60 and 808.45 is: 1,114.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.13 : 1,359.60 = 808.45 : x
  2. Step 2: Convert to fraction form
    986.13/1,359.60 = 808.45/x
  3. Step 3: Cross multiply
    986.13x = 1,359.60 × 808.45
  4. Step 4: Simplify right side
    986.13x = 1,099,162.19
  5. Step 5: Solve for x
    x = 1,099,162.19/986.13
  6. Step 6: Final answer
    x = 1,114.62

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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.