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Finding the Fourth Proportional to 1,197.33, 1,651.93 and 725.08

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Solution

The fourth proportional to 1,197.33, 1,651.93 and 725.08 is: 1,000.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.33 : 1,651.93 = 725.08 : x
  2. Step 2: Convert to fraction form
    1,197.33/1,651.93 = 725.08/x
  3. Step 3: Cross multiply
    1,197.33x = 1,651.93 × 725.08
  4. Step 4: Simplify right side
    1,197.33x = 1,197,774.05
  5. Step 5: Solve for x
    x = 1,197,774.05/1,197.33
  6. Step 6: Final answer
    x = 1,000.37

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1.5x scale

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.