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Finding the Fourth Proportional to 722.95, 1,083.57 and 415.02

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Solution

The fourth proportional to 722.95, 1,083.57 and 415.02 is: 622.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.95 : 1,083.57 = 415.02 : x
  2. Step 2: Convert to fraction form
    722.95/1,083.57 = 415.02/x
  3. Step 3: Cross multiply
    722.95x = 1,083.57 × 415.02
  4. Step 4: Simplify right side
    722.95x = 449,703.22
  5. Step 5: Solve for x
    x = 449,703.22/722.95
  6. Step 6: Final answer
    x = 622.04

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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.