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Finding the Fourth Proportional to 1,238.42, 1,708.98 and 741.06

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Solution

The fourth proportional to 1,238.42, 1,708.98 and 741.06 is: 1,022.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.42 : 1,708.98 = 741.06 : x
  2. Step 2: Convert to fraction form
    1,238.42/1,708.98 = 741.06/x
  3. Step 3: Cross multiply
    1,238.42x = 1,708.98 × 741.06
  4. Step 4: Simplify right side
    1,238.42x = 1,266,456.72
  5. Step 5: Solve for x
    x = 1,266,456.72/1,238.42
  6. Step 6: Final answer
    x = 1,022.64

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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.