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Finding the Fourth Proportional to 899.21, 1,348.83 and 411.68

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Solution

The fourth proportional to 899.21, 1,348.83 and 411.68 is: 617.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.21 : 1,348.83 = 411.68 : x
  2. Step 2: Convert to fraction form
    899.21/1,348.83 = 411.68/x
  3. Step 3: Cross multiply
    899.21x = 1,348.83 × 411.68
  4. Step 4: Simplify right side
    899.21x = 555,279.59
  5. Step 5: Solve for x
    x = 555,279.59/899.21
  6. Step 6: Final answer
    x = 617.52

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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.