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Finding the Fourth Proportional to 719.75, 1,080.14 and 257.53

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Solution

The fourth proportional to 719.75, 1,080.14 and 257.53 is: 386.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.75 : 1,080.14 = 257.53 : x
  2. Step 2: Convert to fraction form
    719.75/1,080.14 = 257.53/x
  3. Step 3: Cross multiply
    719.75x = 1,080.14 × 257.53
  4. Step 4: Simplify right side
    719.75x = 278,168.45
  5. Step 5: Solve for x
    x = 278,168.45/719.75
  6. Step 6: Final answer
    x = 386.48

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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.