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Finding the Fourth Proportional to 1,259.26, 1,737.85 and 699.75

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Solution

The fourth proportional to 1,259.26, 1,737.85 and 699.75 is: 965.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.26 : 1,737.85 = 699.75 : x
  2. Step 2: Convert to fraction form
    1,259.26/1,737.85 = 699.75/x
  3. Step 3: Cross multiply
    1,259.26x = 1,737.85 × 699.75
  4. Step 4: Simplify right side
    1,259.26x = 1,216,060.54
  5. Step 5: Solve for x
    x = 1,216,060.54/1,259.26
  6. Step 6: Final answer
    x = 965.69

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