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Finding the Fourth Proportional to 682.42, 1,018.39 and 609.52

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Solution

The fourth proportional to 682.42, 1,018.39 and 609.52 is: 909.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.42 : 1,018.39 = 609.52 : x
  2. Step 2: Convert to fraction form
    682.42/1,018.39 = 609.52/x
  3. Step 3: Cross multiply
    682.42x = 1,018.39 × 609.52
  4. Step 4: Simplify right side
    682.42x = 620,729.07
  5. Step 5: Solve for x
    x = 620,729.07/682.42
  6. Step 6: Final answer
    x = 909.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.