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Finding the Fourth Proportional to 1,073.00, 1,609.77 and 456.38

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Solution

The fourth proportional to 1,073.00, 1,609.77 and 456.38 is: 684.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.00 : 1,609.77 = 456.38 : x
  2. Step 2: Convert to fraction form
    1,073.00/1,609.77 = 456.38/x
  3. Step 3: Cross multiply
    1,073.00x = 1,609.77 × 456.38
  4. Step 4: Simplify right side
    1,073.00x = 734,675.59
  5. Step 5: Solve for x
    x = 734,675.59/1,073.00
  6. Step 6: Final answer
    x = 684.69

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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.