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Finding the Fourth Proportional to 990.86, 1,367.40 and 548.77

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Solution

The fourth proportional to 990.86, 1,367.40 and 548.77 is: 757.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.86 : 1,367.40 = 548.77 : x
  2. Step 2: Convert to fraction form
    990.86/1,367.40 = 548.77/x
  3. Step 3: Cross multiply
    990.86x = 1,367.40 × 548.77
  4. Step 4: Simplify right side
    990.86x = 750,388.10
  5. Step 5: Solve for x
    x = 750,388.10/990.86
  6. Step 6: Final answer
    x = 757.31

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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.