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Finding the Fourth Proportional to 682.98, 1,024.02 and 250.14

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Solution

The fourth proportional to 682.98, 1,024.02 and 250.14 is: 375.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.98 : 1,024.02 = 250.14 : x
  2. Step 2: Convert to fraction form
    682.98/1,024.02 = 250.14/x
  3. Step 3: Cross multiply
    682.98x = 1,024.02 × 250.14
  4. Step 4: Simplify right side
    682.98x = 256,148.36
  5. Step 5: Solve for x
    x = 256,148.36/682.98
  6. Step 6: Final answer
    x = 375.05

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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.