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Finding the Fourth Proportional to 731.00, 1,089.73 and 719.76

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Solution

The fourth proportional to 731.00, 1,089.73 and 719.76 is: 1,072.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.00 : 1,089.73 = 719.76 : x
  2. Step 2: Convert to fraction form
    731.00/1,089.73 = 719.76/x
  3. Step 3: Cross multiply
    731.00x = 1,089.73 × 719.76
  4. Step 4: Simplify right side
    731.00x = 784,348.59
  5. Step 5: Solve for x
    x = 784,348.59/731.00
  6. Step 6: Final answer
    x = 1,072.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.