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Finding the Fourth Proportional to 706.56, 976.32 and 552.48

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Solution

The fourth proportional to 706.56, 976.32 and 552.48 is: 763.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.56 : 976.32 = 552.48 : x
  2. Step 2: Convert to fraction form
    706.56/976.32 = 552.48/x
  3. Step 3: Cross multiply
    706.56x = 976.32 × 552.48
  4. Step 4: Simplify right side
    706.56x = 539,397.27
  5. Step 5: Solve for x
    x = 539,397.27/706.56
  6. Step 6: Final answer
    x = 763.41

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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.