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Finding the Fourth Proportional to 899.20, 1,348.56 and 412.39

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Solution

The fourth proportional to 899.20, 1,348.56 and 412.39 is: 618.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.20 : 1,348.56 = 412.39 : x
  2. Step 2: Convert to fraction form
    899.20/1,348.56 = 412.39/x
  3. Step 3: Cross multiply
    899.20x = 1,348.56 × 412.39
  4. Step 4: Simplify right side
    899.20x = 556,132.66
  5. Step 5: Solve for x
    x = 556,132.66/899.20
  6. Step 6: Final answer
    x = 618.47

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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.