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Finding the Fourth Proportional to 1,027.45, 1,541.18 and 965.94

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Solution

The fourth proportional to 1,027.45, 1,541.18 and 965.94 is: 1,448.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.45 : 1,541.18 = 965.94 : x
  2. Step 2: Convert to fraction form
    1,027.45/1,541.18 = 965.94/x
  3. Step 3: Cross multiply
    1,027.45x = 1,541.18 × 965.94
  4. Step 4: Simplify right side
    1,027.45x = 1,488,687.41
  5. Step 5: Solve for x
    x = 1,488,687.41/1,027.45
  6. Step 6: Final answer
    x = 1,448.91

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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.