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Finding the Fourth Proportional to 899.19, 1,349.15 and 412.47

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Solution

The fourth proportional to 899.19, 1,349.15 and 412.47 is: 618.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.19 : 1,349.15 = 412.47 : x
  2. Step 2: Convert to fraction form
    899.19/1,349.15 = 412.47/x
  3. Step 3: Cross multiply
    899.19x = 1,349.15 × 412.47
  4. Step 4: Simplify right side
    899.19x = 556,481.84
  5. Step 5: Solve for x
    x = 556,481.84/899.19
  6. Step 6: Final answer
    x = 618.87

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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.