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Finding the Fourth Proportional to 1,197.67, 1,652.02 and 754.80

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Solution

The fourth proportional to 1,197.67, 1,652.02 and 754.80 is: 1,041.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.67 : 1,652.02 = 754.80 : x
  2. Step 2: Convert to fraction form
    1,197.67/1,652.02 = 754.80/x
  3. Step 3: Cross multiply
    1,197.67x = 1,652.02 × 754.80
  4. Step 4: Simplify right side
    1,197.67x = 1,246,944.70
  5. Step 5: Solve for x
    x = 1,246,944.70/1,197.67
  6. Step 6: Final answer
    x = 1,041.14

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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.