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Finding the Fourth Proportional to 1,232.04, 1,700.42 and 727.86

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Solution

The fourth proportional to 1,232.04, 1,700.42 and 727.86 is: 1,004.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.04 : 1,700.42 = 727.86 : x
  2. Step 2: Convert to fraction form
    1,232.04/1,700.42 = 727.86/x
  3. Step 3: Cross multiply
    1,232.04x = 1,700.42 × 727.86
  4. Step 4: Simplify right side
    1,232.04x = 1,237,667.70
  5. Step 5: Solve for x
    x = 1,237,667.70/1,232.04
  6. Step 6: Final answer
    x = 1,004.57

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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.