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Finding the Fourth Proportional to 719.89, 1,079.15 and 534.30

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Solution

The fourth proportional to 719.89, 1,079.15 and 534.30 is: 800.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.89 : 1,079.15 = 534.30 : x
  2. Step 2: Convert to fraction form
    719.89/1,079.15 = 534.30/x
  3. Step 3: Cross multiply
    719.89x = 1,079.15 × 534.30
  4. Step 4: Simplify right side
    719.89x = 576,584.63
  5. Step 5: Solve for x
    x = 576,584.63/719.89
  6. Step 6: Final answer
    x = 800.94

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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.