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Finding the Fourth Proportional to 1,735.25, 2,603.42 and 695.82

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Solution

The fourth proportional to 1,735.25, 2,603.42 and 695.82 is: 1,043.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.25 : 2,603.42 = 695.82 : x
  2. Step 2: Convert to fraction form
    1,735.25/2,603.42 = 695.82/x
  3. Step 3: Cross multiply
    1,735.25x = 2,603.42 × 695.82
  4. Step 4: Simplify right side
    1,735.25x = 1,811,508.23
  5. Step 5: Solve for x
    x = 1,811,508.23/1,735.25
  6. Step 6: Final answer
    x = 1,043.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.