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Finding the Fourth Proportional to 1,072.45, 1,608.84 and 456.16

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Solution

The fourth proportional to 1,072.45, 1,608.84 and 456.16 is: 684.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.45 : 1,608.84 = 456.16 : x
  2. Step 2: Convert to fraction form
    1,072.45/1,608.84 = 456.16/x
  3. Step 3: Cross multiply
    1,072.45x = 1,608.84 × 456.16
  4. Step 4: Simplify right side
    1,072.45x = 733,888.45
  5. Step 5: Solve for x
    x = 733,888.45/1,072.45
  6. Step 6: Final answer
    x = 684.31

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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.