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Finding the Fourth Proportional to 1,197.73, 1,653.03 and 725.81

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Solution

The fourth proportional to 1,197.73, 1,653.03 and 725.81 is: 1,001.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.73 : 1,653.03 = 725.81 : x
  2. Step 2: Convert to fraction form
    1,197.73/1,653.03 = 725.81/x
  3. Step 3: Cross multiply
    1,197.73x = 1,653.03 × 725.81
  4. Step 4: Simplify right side
    1,197.73x = 1,199,782.08
  5. Step 5: Solve for x
    x = 1,199,782.08/1,197.73
  6. Step 6: Final answer
    x = 1,001.72

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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.