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Finding the Fourth Proportional to 1,233.44, 1,701.92 and 709.28

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Solution

The fourth proportional to 1,233.44, 1,701.92 and 709.28 is: 978.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.44 : 1,701.92 = 709.28 : x
  2. Step 2: Convert to fraction form
    1,233.44/1,701.92 = 709.28/x
  3. Step 3: Cross multiply
    1,233.44x = 1,701.92 × 709.28
  4. Step 4: Simplify right side
    1,233.44x = 1,207,137.82
  5. Step 5: Solve for x
    x = 1,207,137.82/1,233.44
  6. Step 6: Final answer
    x = 978.68

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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.