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Finding the Fourth Proportional to 812.63, 1,121.37 and 497.77

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Solution

The fourth proportional to 812.63, 1,121.37 and 497.77 is: 686.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.63 : 1,121.37 = 497.77 : x
  2. Step 2: Convert to fraction form
    812.63/1,121.37 = 497.77/x
  3. Step 3: Cross multiply
    812.63x = 1,121.37 × 497.77
  4. Step 4: Simplify right side
    812.63x = 558,176.25
  5. Step 5: Solve for x
    x = 558,176.25/812.63
  6. Step 6: Final answer
    x = 686.88

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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.