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Finding the Fourth Proportional to 1,683.06, 2,524.47 and 528.78

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Solution

The fourth proportional to 1,683.06, 2,524.47 and 528.78 is: 793.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.06 : 2,524.47 = 528.78 : x
  2. Step 2: Convert to fraction form
    1,683.06/2,524.47 = 528.78/x
  3. Step 3: Cross multiply
    1,683.06x = 2,524.47 × 528.78
  4. Step 4: Simplify right side
    1,683.06x = 1,334,889.25
  5. Step 5: Solve for x
    x = 1,334,889.25/1,683.06
  6. Step 6: Final answer
    x = 793.13

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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.