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Finding the Fourth Proportional to 1,173.76, 1,620.08 and 725.76

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Solution

The fourth proportional to 1,173.76, 1,620.08 and 725.76 is: 1,001.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.76 : 1,620.08 = 725.76 : x
  2. Step 2: Convert to fraction form
    1,173.76/1,620.08 = 725.76/x
  3. Step 3: Cross multiply
    1,173.76x = 1,620.08 × 725.76
  4. Step 4: Simplify right side
    1,173.76x = 1,175,789.26
  5. Step 5: Solve for x
    x = 1,175,789.26/1,173.76
  6. Step 6: Final answer
    x = 1,001.73

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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.