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Finding the Fourth Proportional to 719.53, 1,079.04 and 257.19

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Solution

The fourth proportional to 719.53, 1,079.04 and 257.19 is: 385.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.53 : 1,079.04 = 257.19 : x
  2. Step 2: Convert to fraction form
    719.53/1,079.04 = 257.19/x
  3. Step 3: Cross multiply
    719.53x = 1,079.04 × 257.19
  4. Step 4: Simplify right side
    719.53x = 277,511.62
  5. Step 5: Solve for x
    x = 277,511.62/719.53
  6. Step 6: Final answer
    x = 385.68

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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.