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Finding the Fourth Proportional to 727.70, 1,003.12 and 569.98

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Solution

The fourth proportional to 727.70, 1,003.12 and 569.98 is: 785.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.70 : 1,003.12 = 569.98 : x
  2. Step 2: Convert to fraction form
    727.70/1,003.12 = 569.98/x
  3. Step 3: Cross multiply
    727.70x = 1,003.12 × 569.98
  4. Step 4: Simplify right side
    727.70x = 571,755.49
  5. Step 5: Solve for x
    x = 571,755.49/727.70
  6. Step 6: Final answer
    x = 785.71

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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.