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Finding the Fourth Proportional to 1,074.70, 1,608.45 and 945.10

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Solution

The fourth proportional to 1,074.70, 1,608.45 and 945.10 is: 1,414.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.70 : 1,608.45 = 945.10 : x
  2. Step 2: Convert to fraction form
    1,074.70/1,608.45 = 945.10/x
  3. Step 3: Cross multiply
    1,074.70x = 1,608.45 × 945.10
  4. Step 4: Simplify right side
    1,074.70x = 1,520,146.10
  5. Step 5: Solve for x
    x = 1,520,146.10/1,074.70
  6. Step 6: Final answer
    x = 1,414.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.