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Finding the Fourth Proportional to 719.07, 1,077.91 and 231.79

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Solution

The fourth proportional to 719.07, 1,077.91 and 231.79 is: 347.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.07 : 1,077.91 = 231.79 : x
  2. Step 2: Convert to fraction form
    719.07/1,077.91 = 231.79/x
  3. Step 3: Cross multiply
    719.07x = 1,077.91 × 231.79
  4. Step 4: Simplify right side
    719.07x = 249,848.76
  5. Step 5: Solve for x
    x = 249,848.76/719.07
  6. Step 6: Final answer
    x = 347.46

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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.