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Finding the Fourth Proportional to 719.78, 1,079.64 and 257.58

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Solution

The fourth proportional to 719.78, 1,079.64 and 257.58 is: 386.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.78 : 1,079.64 = 257.58 : x
  2. Step 2: Convert to fraction form
    719.78/1,079.64 = 257.58/x
  3. Step 3: Cross multiply
    719.78x = 1,079.64 × 257.58
  4. Step 4: Simplify right side
    719.78x = 278,093.67
  5. Step 5: Solve for x
    x = 278,093.67/719.78
  6. Step 6: Final answer
    x = 386.36

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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.