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Finding the Fourth Proportional to 1,073.15, 1,609.80 and 456.78

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Solution

The fourth proportional to 1,073.15, 1,609.80 and 456.78 is: 685.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.15 : 1,609.80 = 456.78 : x
  2. Step 2: Convert to fraction form
    1,073.15/1,609.80 = 456.78/x
  3. Step 3: Cross multiply
    1,073.15x = 1,609.80 × 456.78
  4. Step 4: Simplify right side
    1,073.15x = 735,324.44
  5. Step 5: Solve for x
    x = 735,324.44/1,073.15
  6. Step 6: Final answer
    x = 685.20

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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.