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Finding the Fourth Proportional to 1,301.96, 1,796.67 and 712.49

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Solution

The fourth proportional to 1,301.96, 1,796.67 and 712.49 is: 983.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.96 : 1,796.67 = 712.49 : x
  2. Step 2: Convert to fraction form
    1,301.96/1,796.67 = 712.49/x
  3. Step 3: Cross multiply
    1,301.96x = 1,796.67 × 712.49
  4. Step 4: Simplify right side
    1,301.96x = 1,280,100.42
  5. Step 5: Solve for x
    x = 1,280,100.42/1,301.96
  6. Step 6: Final answer
    x = 983.21

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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.