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Finding the Fourth Proportional to 1,316.97, 1,817.43 and 727.53

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Solution

The fourth proportional to 1,316.97, 1,817.43 and 727.53 is: 1,004.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.97 : 1,817.43 = 727.53 : x
  2. Step 2: Convert to fraction form
    1,316.97/1,817.43 = 727.53/x
  3. Step 3: Cross multiply
    1,316.97x = 1,817.43 × 727.53
  4. Step 4: Simplify right side
    1,316.97x = 1,322,234.85
  5. Step 5: Solve for x
    x = 1,322,234.85/1,316.97
  6. Step 6: Final answer
    x = 1,004.00

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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.