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Finding the Fourth Proportional to 704.19, 1,057.20 and 596.67

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Solution

The fourth proportional to 704.19, 1,057.20 and 596.67 is: 895.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.19 : 1,057.20 = 596.67 : x
  2. Step 2: Convert to fraction form
    704.19/1,057.20 = 596.67/x
  3. Step 3: Cross multiply
    704.19x = 1,057.20 × 596.67
  4. Step 4: Simplify right side
    704.19x = 630,799.52
  5. Step 5: Solve for x
    x = 630,799.52/704.19
  6. Step 6: Final answer
    x = 895.78

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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.