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Finding the Fourth Proportional to 1,385.97, 2,076.09 and 690.54

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Solution

The fourth proportional to 1,385.97, 2,076.09 and 690.54 is: 1,034.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.97 : 2,076.09 = 690.54 : x
  2. Step 2: Convert to fraction form
    1,385.97/2,076.09 = 690.54/x
  3. Step 3: Cross multiply
    1,385.97x = 2,076.09 × 690.54
  4. Step 4: Simplify right side
    1,385.97x = 1,433,623.19
  5. Step 5: Solve for x
    x = 1,433,623.19/1,385.97
  6. Step 6: Final answer
    x = 1,034.38

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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.