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Finding the Fourth Proportional to 1,469.97, 2,204.93 and 776.49

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Solution

The fourth proportional to 1,469.97, 2,204.93 and 776.49 is: 1,164.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.97 : 2,204.93 = 776.49 : x
  2. Step 2: Convert to fraction form
    1,469.97/2,204.93 = 776.49/x
  3. Step 3: Cross multiply
    1,469.97x = 2,204.93 × 776.49
  4. Step 4: Simplify right side
    1,469.97x = 1,712,102.21
  5. Step 5: Solve for x
    x = 1,712,102.21/1,469.97
  6. Step 6: Final answer
    x = 1,164.72

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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.