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Finding the Fourth Proportional to 1,013.08, 1,399.26 and 719.62

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Solution

The fourth proportional to 1,013.08, 1,399.26 and 719.62 is: 993.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.08 : 1,399.26 = 719.62 : x
  2. Step 2: Convert to fraction form
    1,013.08/1,399.26 = 719.62/x
  3. Step 3: Cross multiply
    1,013.08x = 1,399.26 × 719.62
  4. Step 4: Simplify right side
    1,013.08x = 1,006,935.48
  5. Step 5: Solve for x
    x = 1,006,935.48/1,013.08
  6. Step 6: Final answer
    x = 993.93

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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.