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Finding the Fourth Proportional to 1,197.33, 1,652.52 and 754.89

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Solution

The fourth proportional to 1,197.33, 1,652.52 and 754.89 is: 1,041.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.33 : 1,652.52 = 754.89 : x
  2. Step 2: Convert to fraction form
    1,197.33/1,652.52 = 754.89/x
  3. Step 3: Cross multiply
    1,197.33x = 1,652.52 × 754.89
  4. Step 4: Simplify right side
    1,197.33x = 1,247,470.82
  5. Step 5: Solve for x
    x = 1,247,470.82/1,197.33
  6. Step 6: Final answer
    x = 1,041.88

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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.