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Finding the Fourth Proportional to 899.35, 1,349.03 and 412.06

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Solution

The fourth proportional to 899.35, 1,349.03 and 412.06 is: 618.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.35 : 1,349.03 = 412.06 : x
  2. Step 2: Convert to fraction form
    899.35/1,349.03 = 412.06/x
  3. Step 3: Cross multiply
    899.35x = 1,349.03 × 412.06
  4. Step 4: Simplify right side
    899.35x = 555,881.30
  5. Step 5: Solve for x
    x = 555,881.30/899.35
  6. Step 6: Final answer
    x = 618.09

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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.