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Finding the Fourth Proportional to 1,618.01, 2,428.83 and 644.79

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Solution

The fourth proportional to 1,618.01, 2,428.83 and 644.79 is: 967.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.01 : 2,428.83 = 644.79 : x
  2. Step 2: Convert to fraction form
    1,618.01/2,428.83 = 644.79/x
  3. Step 3: Cross multiply
    1,618.01x = 2,428.83 × 644.79
  4. Step 4: Simplify right side
    1,618.01x = 1,566,085.30
  5. Step 5: Solve for x
    x = 1,566,085.30/1,618.01
  6. Step 6: Final answer
    x = 967.91

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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.