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Finding the Fourth Proportional to 704.59, 1,055.95 and 396.29

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Solution

The fourth proportional to 704.59, 1,055.95 and 396.29 is: 593.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.59 : 1,055.95 = 396.29 : x
  2. Step 2: Convert to fraction form
    704.59/1,055.95 = 396.29/x
  3. Step 3: Cross multiply
    704.59x = 1,055.95 × 396.29
  4. Step 4: Simplify right side
    704.59x = 418,462.43
  5. Step 5: Solve for x
    x = 418,462.43/704.59
  6. Step 6: Final answer
    x = 593.91

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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.