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Finding the Fourth Proportional to 990.63, 1,366.77 and 769.20

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Solution

The fourth proportional to 990.63, 1,366.77 and 769.20 is: 1,061.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.63 : 1,366.77 = 769.20 : x
  2. Step 2: Convert to fraction form
    990.63/1,366.77 = 769.20/x
  3. Step 3: Cross multiply
    990.63x = 1,366.77 × 769.20
  4. Step 4: Simplify right side
    990.63x = 1,051,319.48
  5. Step 5: Solve for x
    x = 1,051,319.48/990.63
  6. Step 6: Final answer
    x = 1,061.26

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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.