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Finding the Fourth Proportional to 1,197.25, 1,651.80 and 725.02

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Solution

The fourth proportional to 1,197.25, 1,651.80 and 725.02 is: 1,000.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.25 : 1,651.80 = 725.02 : x
  2. Step 2: Convert to fraction form
    1,197.25/1,651.80 = 725.02/x
  3. Step 3: Cross multiply
    1,197.25x = 1,651.80 × 725.02
  4. Step 4: Simplify right side
    1,197.25x = 1,197,588.04
  5. Step 5: Solve for x
    x = 1,197,588.04/1,197.25
  6. Step 6: Final answer
    x = 1,000.28

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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.