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Finding the Fourth Proportional to 682.56, 1,022.88 and 340.80

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Solution

The fourth proportional to 682.56, 1,022.88 and 340.80 is: 510.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.56 : 1,022.88 = 340.80 : x
  2. Step 2: Convert to fraction form
    682.56/1,022.88 = 340.80/x
  3. Step 3: Cross multiply
    682.56x = 1,022.88 × 340.80
  4. Step 4: Simplify right side
    682.56x = 348,597.50
  5. Step 5: Solve for x
    x = 348,597.50/682.56
  6. Step 6: Final answer
    x = 510.72

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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.