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Finding the Fourth Proportional to 1,264.97, 1,896.03 and 955.82

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Solution

The fourth proportional to 1,264.97, 1,896.03 and 955.82 is: 1,432.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.97 : 1,896.03 = 955.82 : x
  2. Step 2: Convert to fraction form
    1,264.97/1,896.03 = 955.82/x
  3. Step 3: Cross multiply
    1,264.97x = 1,896.03 × 955.82
  4. Step 4: Simplify right side
    1,264.97x = 1,812,253.91
  5. Step 5: Solve for x
    x = 1,812,253.91/1,264.97
  6. Step 6: Final answer
    x = 1,432.65

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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.