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Finding the Fourth Proportional to 1,027.73, 1,416.61 and 696.04

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Solution

The fourth proportional to 1,027.73, 1,416.61 and 696.04 is: 959.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.73 : 1,416.61 = 696.04 : x
  2. Step 2: Convert to fraction form
    1,027.73/1,416.61 = 696.04/x
  3. Step 3: Cross multiply
    1,027.73x = 1,416.61 × 696.04
  4. Step 4: Simplify right side
    1,027.73x = 986,017.22
  5. Step 5: Solve for x
    x = 986,017.22/1,027.73
  6. Step 6: Final answer
    x = 959.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.