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Finding the Fourth Proportional to 757.23, 1,135.71 and 209.45

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Solution

The fourth proportional to 757.23, 1,135.71 and 209.45 is: 314.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.23 : 1,135.71 = 209.45 : x
  2. Step 2: Convert to fraction form
    757.23/1,135.71 = 209.45/x
  3. Step 3: Cross multiply
    757.23x = 1,135.71 × 209.45
  4. Step 4: Simplify right side
    757.23x = 237,868.78
  5. Step 5: Solve for x
    x = 237,868.78/757.23
  6. Step 6: Final answer
    x = 314.13

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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.