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Finding the Fourth Proportional to 1,450.49, 2,001.68 and 852.83

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Solution

The fourth proportional to 1,450.49, 2,001.68 and 852.83 is: 1,176.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.49 : 2,001.68 = 852.83 : x
  2. Step 2: Convert to fraction form
    1,450.49/2,001.68 = 852.83/x
  3. Step 3: Cross multiply
    1,450.49x = 2,001.68 × 852.83
  4. Step 4: Simplify right side
    1,450.49x = 1,707,092.75
  5. Step 5: Solve for x
    x = 1,707,092.75/1,450.49
  6. Step 6: Final answer
    x = 1,176.91

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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.