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Finding the Fourth Proportional to 682.02, 1,023.84 and 358.02

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Solution

The fourth proportional to 682.02, 1,023.84 and 358.02 is: 537.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.02 : 1,023.84 = 358.02 : x
  2. Step 2: Convert to fraction form
    682.02/1,023.84 = 358.02/x
  3. Step 3: Cross multiply
    682.02x = 1,023.84 × 358.02
  4. Step 4: Simplify right side
    682.02x = 366,555.20
  5. Step 5: Solve for x
    x = 366,555.20/682.02
  6. Step 6: Final answer
    x = 537.46

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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.