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Finding the Fourth Proportional to 1,440.30, 1,987.34 and 850.94

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Solution

The fourth proportional to 1,440.30, 1,987.34 and 850.94 is: 1,174.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.30 : 1,987.34 = 850.94 : x
  2. Step 2: Convert to fraction form
    1,440.30/1,987.34 = 850.94/x
  3. Step 3: Cross multiply
    1,440.30x = 1,987.34 × 850.94
  4. Step 4: Simplify right side
    1,440.30x = 1,691,092.91
  5. Step 5: Solve for x
    x = 1,691,092.91/1,440.30
  6. Step 6: Final answer
    x = 1,174.13

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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.