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Finding the Fourth Proportional to 1,450.78, 2,001.96 and 829.78

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Solution

The fourth proportional to 1,450.78, 2,001.96 and 829.78 is: 1,145.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.78 : 2,001.96 = 829.78 : x
  2. Step 2: Convert to fraction form
    1,450.78/2,001.96 = 829.78/x
  3. Step 3: Cross multiply
    1,450.78x = 2,001.96 × 829.78
  4. Step 4: Simplify right side
    1,450.78x = 1,661,186.37
  5. Step 5: Solve for x
    x = 1,661,186.37/1,450.78
  6. Step 6: Final answer
    x = 1,145.03

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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.