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Finding the Fourth Proportional to 722.34, 1,081.46 and 593.86

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Solution

The fourth proportional to 722.34, 1,081.46 and 593.86 is: 889.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.34 : 1,081.46 = 593.86 : x
  2. Step 2: Convert to fraction form
    722.34/1,081.46 = 593.86/x
  3. Step 3: Cross multiply
    722.34x = 1,081.46 × 593.86
  4. Step 4: Simplify right side
    722.34x = 642,235.84
  5. Step 5: Solve for x
    x = 642,235.84/722.34
  6. Step 6: Final answer
    x = 889.10

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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.