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Finding the Fourth Proportional to 1,259.22, 1,737.77 and 699.65

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Solution

The fourth proportional to 1,259.22, 1,737.77 and 699.65 is: 965.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.22 : 1,737.77 = 699.65 : x
  2. Step 2: Convert to fraction form
    1,259.22/1,737.77 = 699.65/x
  3. Step 3: Cross multiply
    1,259.22x = 1,737.77 × 699.65
  4. Step 4: Simplify right side
    1,259.22x = 1,215,830.78
  5. Step 5: Solve for x
    x = 1,215,830.78/1,259.22
  6. Step 6: Final answer
    x = 965.54

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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.