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Finding the Fourth Proportional to 1,034.66, 1,551.60 and 644.09

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Solution

The fourth proportional to 1,034.66, 1,551.60 and 644.09 is: 965.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.66 : 1,551.60 = 644.09 : x
  2. Step 2: Convert to fraction form
    1,034.66/1,551.60 = 644.09/x
  3. Step 3: Cross multiply
    1,034.66x = 1,551.60 × 644.09
  4. Step 4: Simplify right side
    1,034.66x = 999,362.29
  5. Step 5: Solve for x
    x = 999,362.29/1,034.66
  6. Step 6: Final answer
    x = 965.89

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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.