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Finding the Fourth Proportional to 1,232.88, 1,701.36 and 708.96

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Solution

The fourth proportional to 1,232.88, 1,701.36 and 708.96 is: 978.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.88 : 1,701.36 = 708.96 : x
  2. Step 2: Convert to fraction form
    1,232.88/1,701.36 = 708.96/x
  3. Step 3: Cross multiply
    1,232.88x = 1,701.36 × 708.96
  4. Step 4: Simplify right side
    1,232.88x = 1,206,196.19
  5. Step 5: Solve for x
    x = 1,206,196.19/1,232.88
  6. Step 6: Final answer
    x = 978.36

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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.