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Finding the Fourth Proportional to 1,301.42, 1,796.13 and 829.16

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Solution

The fourth proportional to 1,301.42, 1,796.13 and 829.16 is: 1,144.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.42 : 1,796.13 = 829.16 : x
  2. Step 2: Convert to fraction form
    1,301.42/1,796.13 = 829.16/x
  3. Step 3: Cross multiply
    1,301.42x = 1,796.13 × 829.16
  4. Step 4: Simplify right side
    1,301.42x = 1,489,270.17
  5. Step 5: Solve for x
    x = 1,489,270.17/1,301.42
  6. Step 6: Final answer
    x = 1,144.35

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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.