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Finding the Fourth Proportional to 1,074.14, 1,610.18 and 682.93

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Solution

The fourth proportional to 1,074.14, 1,610.18 and 682.93 is: 1,023.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.14 : 1,610.18 = 682.93 : x
  2. Step 2: Convert to fraction form
    1,074.14/1,610.18 = 682.93/x
  3. Step 3: Cross multiply
    1,074.14x = 1,610.18 × 682.93
  4. Step 4: Simplify right side
    1,074.14x = 1,099,645.23
  5. Step 5: Solve for x
    x = 1,099,645.23/1,074.14
  6. Step 6: Final answer
    x = 1,023.74

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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.