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Finding the Fourth Proportional to 1,375.24, 1,897.86 and 754.24

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Solution

The fourth proportional to 1,375.24, 1,897.86 and 754.24 is: 1,040.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.24 : 1,897.86 = 754.24 : x
  2. Step 2: Convert to fraction form
    1,375.24/1,897.86 = 754.24/x
  3. Step 3: Cross multiply
    1,375.24x = 1,897.86 × 754.24
  4. Step 4: Simplify right side
    1,375.24x = 1,431,441.93
  5. Step 5: Solve for x
    x = 1,431,441.93/1,375.24
  6. Step 6: Final answer
    x = 1,040.87

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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.