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Finding the Fourth Proportional to 1,072.67, 1,609.00 and 456.37

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Solution

The fourth proportional to 1,072.67, 1,609.00 and 456.37 is: 684.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.67 : 1,609.00 = 456.37 : x
  2. Step 2: Convert to fraction form
    1,072.67/1,609.00 = 456.37/x
  3. Step 3: Cross multiply
    1,072.67x = 1,609.00 × 456.37
  4. Step 4: Simplify right side
    1,072.67x = 734,294.17
  5. Step 5: Solve for x
    x = 734,294.17/1,072.67
  6. Step 6: Final answer
    x = 684.55

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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.