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Finding the Fourth Proportional to 1,162.30, 1,604.26 and 719.94

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Solution

The fourth proportional to 1,162.30, 1,604.26 and 719.94 is: 993.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.30 : 1,604.26 = 719.94 : x
  2. Step 2: Convert to fraction form
    1,162.30/1,604.26 = 719.94/x
  3. Step 3: Cross multiply
    1,162.30x = 1,604.26 × 719.94
  4. Step 4: Simplify right side
    1,162.30x = 1,154,970.94
  5. Step 5: Solve for x
    x = 1,154,970.94/1,162.30
  6. Step 6: Final answer
    x = 993.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.