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Finding the Fourth Proportional to 1,683.08, 2,524.86 and 528.44

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Solution

The fourth proportional to 1,683.08, 2,524.86 and 528.44 is: 792.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.08 : 2,524.86 = 528.44 : x
  2. Step 2: Convert to fraction form
    1,683.08/2,524.86 = 528.44/x
  3. Step 3: Cross multiply
    1,683.08x = 2,524.86 × 528.44
  4. Step 4: Simplify right side
    1,683.08x = 1,334,237.02
  5. Step 5: Solve for x
    x = 1,334,237.02/1,683.08
  6. Step 6: Final answer
    x = 792.74

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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.