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Finding the Fourth Proportional to 1,480.14, 2,221.56 and 658.26

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Solution

The fourth proportional to 1,480.14, 2,221.56 and 658.26 is: 987.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.14 : 2,221.56 = 658.26 : x
  2. Step 2: Convert to fraction form
    1,480.14/2,221.56 = 658.26/x
  3. Step 3: Cross multiply
    1,480.14x = 2,221.56 × 658.26
  4. Step 4: Simplify right side
    1,480.14x = 1,462,364.09
  5. Step 5: Solve for x
    x = 1,462,364.09/1,480.14
  6. Step 6: Final answer
    x = 987.99

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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.