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Finding the Fourth Proportional to 1,392.11, 2,090.22 and 777.02

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Solution

The fourth proportional to 1,392.11, 2,090.22 and 777.02 is: 1,166.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.11 : 2,090.22 = 777.02 : x
  2. Step 2: Convert to fraction form
    1,392.11/2,090.22 = 777.02/x
  3. Step 3: Cross multiply
    1,392.11x = 2,090.22 × 777.02
  4. Step 4: Simplify right side
    1,392.11x = 1,624,142.74
  5. Step 5: Solve for x
    x = 1,624,142.74/1,392.11
  6. Step 6: Final answer
    x = 1,166.68

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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.