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Finding the Fourth Proportional to 867.88, 1,196.52 and 709.96

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Solution

The fourth proportional to 867.88, 1,196.52 and 709.96 is: 978.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.88 : 1,196.52 = 709.96 : x
  2. Step 2: Convert to fraction form
    867.88/1,196.52 = 709.96/x
  3. Step 3: Cross multiply
    867.88x = 1,196.52 × 709.96
  4. Step 4: Simplify right side
    867.88x = 849,481.34
  5. Step 5: Solve for x
    x = 849,481.34/867.88
  6. Step 6: Final answer
    x = 978.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.