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Finding the Fourth Proportional to 1,266.08, 1,898.18 and 640.96

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Solution

The fourth proportional to 1,266.08, 1,898.18 and 640.96 is: 960.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.08 : 1,898.18 = 640.96 : x
  2. Step 2: Convert to fraction form
    1,266.08/1,898.18 = 640.96/x
  3. Step 3: Cross multiply
    1,266.08x = 1,898.18 × 640.96
  4. Step 4: Simplify right side
    1,266.08x = 1,216,644.76
  5. Step 5: Solve for x
    x = 1,216,644.76/1,266.08
  6. Step 6: Final answer
    x = 960.96

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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.