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Finding the Fourth Proportional to 729.63, 1,006.83 and 563.58

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Solution

The fourth proportional to 729.63, 1,006.83 and 563.58 is: 777.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.63 : 1,006.83 = 563.58 : x
  2. Step 2: Convert to fraction form
    729.63/1,006.83 = 563.58/x
  3. Step 3: Cross multiply
    729.63x = 1,006.83 × 563.58
  4. Step 4: Simplify right side
    729.63x = 567,429.25
  5. Step 5: Solve for x
    x = 567,429.25/729.63
  6. Step 6: Final answer
    x = 777.69

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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.