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Finding the Fourth Proportional to 1,395.78, 2,094.61 and 746.97

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Solution

The fourth proportional to 1,395.78, 2,094.61 and 746.97 is: 1,120.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.78 : 2,094.61 = 746.97 : x
  2. Step 2: Convert to fraction form
    1,395.78/2,094.61 = 746.97/x
  3. Step 3: Cross multiply
    1,395.78x = 2,094.61 × 746.97
  4. Step 4: Simplify right side
    1,395.78x = 1,564,610.83
  5. Step 5: Solve for x
    x = 1,564,610.83/1,395.78
  6. Step 6: Final answer
    x = 1,120.96

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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.