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Finding the Fourth Proportional to 719.31, 1,079.88 and 611.79

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Solution

The fourth proportional to 719.31, 1,079.88 and 611.79 is: 918.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.31 : 1,079.88 = 611.79 : x
  2. Step 2: Convert to fraction form
    719.31/1,079.88 = 611.79/x
  3. Step 3: Cross multiply
    719.31x = 1,079.88 × 611.79
  4. Step 4: Simplify right side
    719.31x = 660,659.79
  5. Step 5: Solve for x
    x = 660,659.79/719.31
  6. Step 6: Final answer
    x = 918.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.