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Finding the Fourth Proportional to 899.19, 1,348.05 and 412.11

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Solution

The fourth proportional to 899.19, 1,348.05 and 412.11 is: 617.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.19 : 1,348.05 = 412.11 : x
  2. Step 2: Convert to fraction form
    899.19/1,348.05 = 412.11/x
  3. Step 3: Cross multiply
    899.19x = 1,348.05 × 412.11
  4. Step 4: Simplify right side
    899.19x = 555,544.89
  5. Step 5: Solve for x
    x = 555,544.89/899.19
  6. Step 6: Final answer
    x = 617.83

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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.