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Finding the Fourth Proportional to 1,441.42, 1,988.42 and 850.93

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Solution

The fourth proportional to 1,441.42, 1,988.42 and 850.93 is: 1,173.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.42 : 1,988.42 = 850.93 : x
  2. Step 2: Convert to fraction form
    1,441.42/1,988.42 = 850.93/x
  3. Step 3: Cross multiply
    1,441.42x = 1,988.42 × 850.93
  4. Step 4: Simplify right side
    1,441.42x = 1,691,997.00
  5. Step 5: Solve for x
    x = 1,691,997.00/1,441.42
  6. Step 6: Final answer
    x = 1,173.84

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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.