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Finding the Fourth Proportional to 719.83, 1,079.78 and 257.83

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Solution

The fourth proportional to 719.83, 1,079.78 and 257.83 is: 386.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.83 : 1,079.78 = 257.83 : x
  2. Step 2: Convert to fraction form
    719.83/1,079.78 = 257.83/x
  3. Step 3: Cross multiply
    719.83x = 1,079.78 × 257.83
  4. Step 4: Simplify right side
    719.83x = 278,392.99
  5. Step 5: Solve for x
    x = 278,392.99/719.83
  6. Step 6: Final answer
    x = 386.75

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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.