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Finding the Fourth Proportional to 899.07, 1,348.70 and 412.26

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Solution

The fourth proportional to 899.07, 1,348.70 and 412.26 is: 618.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.07 : 1,348.70 = 412.26 : x
  2. Step 2: Convert to fraction form
    899.07/1,348.70 = 412.26/x
  3. Step 3: Cross multiply
    899.07x = 1,348.70 × 412.26
  4. Step 4: Simplify right side
    899.07x = 556,015.06
  5. Step 5: Solve for x
    x = 556,015.06/899.07
  6. Step 6: Final answer
    x = 618.43

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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.