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Finding the Fourth Proportional to 718.44, 1,074.12 and 609.96

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Solution

The fourth proportional to 718.44, 1,074.12 and 609.96 is: 911.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.44 : 1,074.12 = 609.96 : x
  2. Step 2: Convert to fraction form
    718.44/1,074.12 = 609.96/x
  3. Step 3: Cross multiply
    718.44x = 1,074.12 × 609.96
  4. Step 4: Simplify right side
    718.44x = 655,170.24
  5. Step 5: Solve for x
    x = 655,170.24/718.44
  6. Step 6: Final answer
    x = 911.93

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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.