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Finding the Fourth Proportional to 899.22, 1,348.36 and 411.85

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Solution

The fourth proportional to 899.22, 1,348.36 and 411.85 is: 617.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.22 : 1,348.36 = 411.85 : x
  2. Step 2: Convert to fraction form
    899.22/1,348.36 = 411.85/x
  3. Step 3: Cross multiply
    899.22x = 1,348.36 × 411.85
  4. Step 4: Simplify right side
    899.22x = 555,322.07
  5. Step 5: Solve for x
    x = 555,322.07/899.22
  6. Step 6: Final answer
    x = 617.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.