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Finding the Fourth Proportional to 1,259.09, 1,737.46 and 699.52

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Solution

The fourth proportional to 1,259.09, 1,737.46 and 699.52 is: 965.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.09 : 1,737.46 = 699.52 : x
  2. Step 2: Convert to fraction form
    1,259.09/1,737.46 = 699.52/x
  3. Step 3: Cross multiply
    1,259.09x = 1,737.46 × 699.52
  4. Step 4: Simplify right side
    1,259.09x = 1,215,388.02
  5. Step 5: Solve for x
    x = 1,215,388.02/1,259.09
  6. Step 6: Final answer
    x = 965.29

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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.