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Finding the Fourth Proportional to 1,073.19, 1,609.77 and 456.57

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Solution

The fourth proportional to 1,073.19, 1,609.77 and 456.57 is: 684.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.19 : 1,609.77 = 456.57 : x
  2. Step 2: Convert to fraction form
    1,073.19/1,609.77 = 456.57/x
  3. Step 3: Cross multiply
    1,073.19x = 1,609.77 × 456.57
  4. Step 4: Simplify right side
    1,073.19x = 734,972.69
  5. Step 5: Solve for x
    x = 734,972.69/1,073.19
  6. Step 6: Final answer
    x = 684.85

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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.