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Finding the Fourth Proportional to 682.32, 1,024.56 and 390.72

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Solution

The fourth proportional to 682.32, 1,024.56 and 390.72 is: 586.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.32 : 1,024.56 = 390.72 : x
  2. Step 2: Convert to fraction form
    682.32/1,024.56 = 390.72/x
  3. Step 3: Cross multiply
    682.32x = 1,024.56 × 390.72
  4. Step 4: Simplify right side
    682.32x = 400,316.08
  5. Step 5: Solve for x
    x = 400,316.08/682.32
  6. Step 6: Final answer
    x = 586.70

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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.