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Finding the Fourth Proportional to 1,072.42, 1,608.80 and 456.13

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Solution

The fourth proportional to 1,072.42, 1,608.80 and 456.13 is: 684.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.42 : 1,608.80 = 456.13 : x
  2. Step 2: Convert to fraction form
    1,072.42/1,608.80 = 456.13/x
  3. Step 3: Cross multiply
    1,072.42x = 1,608.80 × 456.13
  4. Step 4: Simplify right side
    1,072.42x = 733,811.62
  5. Step 5: Solve for x
    x = 733,811.62/1,072.42
  6. Step 6: Final answer
    x = 684.26

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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.