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Finding the Fourth Proportional to 812.52, 1,223.10 and 737.16

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Solution

The fourth proportional to 812.52, 1,223.10 and 737.16 is: 1,109.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.52 : 1,223.10 = 737.16 : x
  2. Step 2: Convert to fraction form
    812.52/1,223.10 = 737.16/x
  3. Step 3: Cross multiply
    812.52x = 1,223.10 × 737.16
  4. Step 4: Simplify right side
    812.52x = 901,620.40
  5. Step 5: Solve for x
    x = 901,620.40/812.52
  6. Step 6: Final answer
    x = 1,109.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.