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Finding the Fourth Proportional to 1,072.80, 1,608.79 and 456.79

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Solution

The fourth proportional to 1,072.80, 1,608.79 and 456.79 is: 685.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.80 : 1,608.79 = 456.79 : x
  2. Step 2: Convert to fraction form
    1,072.80/1,608.79 = 456.79/x
  3. Step 3: Cross multiply
    1,072.80x = 1,608.79 × 456.79
  4. Step 4: Simplify right side
    1,072.80x = 734,878.04
  5. Step 5: Solve for x
    x = 734,878.04/1,072.80
  6. Step 6: Final answer
    x = 685.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.