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Finding the Fourth Proportional to 918.22, 1,266.96 and 525.37

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Solution

The fourth proportional to 918.22, 1,266.96 and 525.37 is: 724.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.22 : 1,266.96 = 525.37 : x
  2. Step 2: Convert to fraction form
    918.22/1,266.96 = 525.37/x
  3. Step 3: Cross multiply
    918.22x = 1,266.96 × 525.37
  4. Step 4: Simplify right side
    918.22x = 665,622.78
  5. Step 5: Solve for x
    x = 665,622.78/918.22
  6. Step 6: Final answer
    x = 724.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.