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Finding the Fourth Proportional to 704.77, 971.95 and 605.16

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Solution

The fourth proportional to 704.77, 971.95 and 605.16 is: 834.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.77 : 971.95 = 605.16 : x
  2. Step 2: Convert to fraction form
    704.77/971.95 = 605.16/x
  3. Step 3: Cross multiply
    704.77x = 971.95 × 605.16
  4. Step 4: Simplify right side
    704.77x = 588,181.99
  5. Step 5: Solve for x
    x = 588,181.99/704.77
  6. Step 6: Final answer
    x = 834.57

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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.