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Finding the Fourth Proportional to 1,072.42, 1,608.92 and 456.16

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Solution

The fourth proportional to 1,072.42, 1,608.92 and 456.16 is: 684.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.42 : 1,608.92 = 456.16 : x
  2. Step 2: Convert to fraction form
    1,072.42/1,608.92 = 456.16/x
  3. Step 3: Cross multiply
    1,072.42x = 1,608.92 × 456.16
  4. Step 4: Simplify right side
    1,072.42x = 733,924.95
  5. Step 5: Solve for x
    x = 733,924.95/1,072.42
  6. Step 6: Final answer
    x = 684.36

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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.