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Finding the Fourth Proportional to 682.73, 1,024.14 and 317.32

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Solution

The fourth proportional to 682.73, 1,024.14 and 317.32 is: 476.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.73 : 1,024.14 = 317.32 : x
  2. Step 2: Convert to fraction form
    682.73/1,024.14 = 317.32/x
  3. Step 3: Cross multiply
    682.73x = 1,024.14 × 317.32
  4. Step 4: Simplify right side
    682.73x = 324,978.73
  5. Step 5: Solve for x
    x = 324,978.73/682.73
  6. Step 6: Final answer
    x = 476.00

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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.