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Finding the Fourth Proportional to 722.16, 1,081.26 and 656.46

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Solution

The fourth proportional to 722.16, 1,081.26 and 656.46 is: 982.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.16 : 1,081.26 = 656.46 : x
  2. Step 2: Convert to fraction form
    722.16/1,081.26 = 656.46/x
  3. Step 3: Cross multiply
    722.16x = 1,081.26 × 656.46
  4. Step 4: Simplify right side
    722.16x = 709,803.94
  5. Step 5: Solve for x
    x = 709,803.94/722.16
  6. Step 6: Final answer
    x = 982.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.