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Finding the Fourth Proportional to 719.54, 1,079.58 and 257.30

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Solution

The fourth proportional to 719.54, 1,079.58 and 257.30 is: 386.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.54 : 1,079.58 = 257.30 : x
  2. Step 2: Convert to fraction form
    719.54/1,079.58 = 257.30/x
  3. Step 3: Cross multiply
    719.54x = 1,079.58 × 257.30
  4. Step 4: Simplify right side
    719.54x = 277,775.93
  5. Step 5: Solve for x
    x = 277,775.93/719.54
  6. Step 6: Final answer
    x = 386.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.