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Finding the Fourth Proportional to 1,073.76, 1,609.80 and 456.96

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Solution

The fourth proportional to 1,073.76, 1,609.80 and 456.96 is: 685.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.76 : 1,609.80 = 456.96 : x
  2. Step 2: Convert to fraction form
    1,073.76/1,609.80 = 456.96/x
  3. Step 3: Cross multiply
    1,073.76x = 1,609.80 × 456.96
  4. Step 4: Simplify right side
    1,073.76x = 735,614.21
  5. Step 5: Solve for x
    x = 735,614.21/1,073.76
  6. Step 6: Final answer
    x = 685.08

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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.