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Finding the Fourth Proportional to 722.54, 1,085.97 and 636.14

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Solution

The fourth proportional to 722.54, 1,085.97 and 636.14 is: 956.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.54 : 1,085.97 = 636.14 : x
  2. Step 2: Convert to fraction form
    722.54/1,085.97 = 636.14/x
  3. Step 3: Cross multiply
    722.54x = 1,085.97 × 636.14
  4. Step 4: Simplify right side
    722.54x = 690,828.96
  5. Step 5: Solve for x
    x = 690,828.96/722.54
  6. Step 6: Final answer
    x = 956.11

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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.