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Finding the Fourth Proportional to 1,145.20, 1,717.86 and 596.92

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Solution

The fourth proportional to 1,145.20, 1,717.86 and 596.92 is: 895.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.20 : 1,717.86 = 596.92 : x
  2. Step 2: Convert to fraction form
    1,145.20/1,717.86 = 596.92/x
  3. Step 3: Cross multiply
    1,145.20x = 1,717.86 × 596.92
  4. Step 4: Simplify right side
    1,145.20x = 1,025,424.99
  5. Step 5: Solve for x
    x = 1,025,424.99/1,145.20
  6. Step 6: Final answer
    x = 895.41

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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.