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Finding the Fourth Proportional to 1,474.82, 2,211.48 and 653.34

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Solution

The fourth proportional to 1,474.82, 2,211.48 and 653.34 is: 979.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.82 : 2,211.48 = 653.34 : x
  2. Step 2: Convert to fraction form
    1,474.82/2,211.48 = 653.34/x
  3. Step 3: Cross multiply
    1,474.82x = 2,211.48 × 653.34
  4. Step 4: Simplify right side
    1,474.82x = 1,444,848.34
  5. Step 5: Solve for x
    x = 1,444,848.34/1,474.82
  6. Step 6: Final answer
    x = 979.68

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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.