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Finding the Fourth Proportional to 1,073.22, 1,609.67 and 456.98

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Solution

The fourth proportional to 1,073.22, 1,609.67 and 456.98 is: 685.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.22 : 1,609.67 = 456.98 : x
  2. Step 2: Convert to fraction form
    1,073.22/1,609.67 = 456.98/x
  3. Step 3: Cross multiply
    1,073.22x = 1,609.67 × 456.98
  4. Step 4: Simplify right side
    1,073.22x = 735,580.09
  5. Step 5: Solve for x
    x = 735,580.09/1,073.22
  6. Step 6: Final answer
    x = 685.40

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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.