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Finding the Fourth Proportional to 1,548.88, 2,137.59 and 850.39

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Solution

The fourth proportional to 1,548.88, 2,137.59 and 850.39 is: 1,173.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.88 : 2,137.59 = 850.39 : x
  2. Step 2: Convert to fraction form
    1,548.88/2,137.59 = 850.39/x
  3. Step 3: Cross multiply
    1,548.88x = 2,137.59 × 850.39
  4. Step 4: Simplify right side
    1,548.88x = 1,817,785.16
  5. Step 5: Solve for x
    x = 1,817,785.16/1,548.88
  6. Step 6: Final answer
    x = 1,173.61

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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.