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Finding the Fourth Proportional to 1,598.76, 2,396.72 and 818.33

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Solution

The fourth proportional to 1,598.76, 2,396.72 and 818.33 is: 1,226.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.76 : 2,396.72 = 818.33 : x
  2. Step 2: Convert to fraction form
    1,598.76/2,396.72 = 818.33/x
  3. Step 3: Cross multiply
    1,598.76x = 2,396.72 × 818.33
  4. Step 4: Simplify right side
    1,598.76x = 1,961,297.94
  5. Step 5: Solve for x
    x = 1,961,297.94/1,598.76
  6. Step 6: Final answer
    x = 1,226.76

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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.