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Finding the Fourth Proportional to 682.16, 1,023.24 and 438.35

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Solution

The fourth proportional to 682.16, 1,023.24 and 438.35 is: 657.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.16 : 1,023.24 = 438.35 : x
  2. Step 2: Convert to fraction form
    682.16/1,023.24 = 438.35/x
  3. Step 3: Cross multiply
    682.16x = 1,023.24 × 438.35
  4. Step 4: Simplify right side
    682.16x = 448,537.25
  5. Step 5: Solve for x
    x = 448,537.25/682.16
  6. Step 6: Final answer
    x = 657.53

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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.