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Finding the Fourth Proportional to 719.47, 1,080.12 and 611.94

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Solution

The fourth proportional to 719.47, 1,080.12 and 611.94 is: 918.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.47 : 1,080.12 = 611.94 : x
  2. Step 2: Convert to fraction form
    719.47/1,080.12 = 611.94/x
  3. Step 3: Cross multiply
    719.47x = 1,080.12 × 611.94
  4. Step 4: Simplify right side
    719.47x = 660,965.57
  5. Step 5: Solve for x
    x = 660,965.57/719.47
  6. Step 6: Final answer
    x = 918.69

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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.