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Finding the Fourth Proportional to 1,598.36, 2,395.51 and 719.92

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Solution

The fourth proportional to 1,598.36, 2,395.51 and 719.92 is: 1,078.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.36 : 2,395.51 = 719.92 : x
  2. Step 2: Convert to fraction form
    1,598.36/2,395.51 = 719.92/x
  3. Step 3: Cross multiply
    1,598.36x = 2,395.51 × 719.92
  4. Step 4: Simplify right side
    1,598.36x = 1,724,575.56
  5. Step 5: Solve for x
    x = 1,724,575.56/1,598.36
  6. Step 6: Final answer
    x = 1,078.97

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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.