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Finding the Fourth Proportional to 1,003.58, 1,503.78 and 797.61

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Solution

The fourth proportional to 1,003.58, 1,503.78 and 797.61 is: 1,195.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.58 : 1,503.78 = 797.61 : x
  2. Step 2: Convert to fraction form
    1,003.58/1,503.78 = 797.61/x
  3. Step 3: Cross multiply
    1,003.58x = 1,503.78 × 797.61
  4. Step 4: Simplify right side
    1,003.58x = 1,199,429.97
  5. Step 5: Solve for x
    x = 1,199,429.97/1,003.58
  6. Step 6: Final answer
    x = 1,195.16

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Why These Related Problems?

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