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Finding the Fourth Proportional to 646.80, 892.37 and 563.76

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Solution

The fourth proportional to 646.80, 892.37 and 563.76 is: 777.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.80 : 892.37 = 563.76 : x
  2. Step 2: Convert to fraction form
    646.80/892.37 = 563.76/x
  3. Step 3: Cross multiply
    646.80x = 892.37 × 563.76
  4. Step 4: Simplify right side
    646.80x = 503,079.69
  5. Step 5: Solve for x
    x = 503,079.69/646.80
  6. Step 6: Final answer
    x = 777.80

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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.