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Finding the Fourth Proportional to 682.92, 1,024.35 and 317.58

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Solution

The fourth proportional to 682.92, 1,024.35 and 317.58 is: 476.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.92 : 1,024.35 = 317.58 : x
  2. Step 2: Convert to fraction form
    682.92/1,024.35 = 317.58/x
  3. Step 3: Cross multiply
    682.92x = 1,024.35 × 317.58
  4. Step 4: Simplify right side
    682.92x = 325,313.07
  5. Step 5: Solve for x
    x = 325,313.07/682.92
  6. Step 6: Final answer
    x = 476.36

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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.