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Finding the Fourth Proportional to 1,683.52, 2,524.74 and 513.07

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Solution

The fourth proportional to 1,683.52, 2,524.74 and 513.07 is: 769.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.52 : 2,524.74 = 513.07 : x
  2. Step 2: Convert to fraction form
    1,683.52/2,524.74 = 513.07/x
  3. Step 3: Cross multiply
    1,683.52x = 2,524.74 × 513.07
  4. Step 4: Simplify right side
    1,683.52x = 1,295,368.35
  5. Step 5: Solve for x
    x = 1,295,368.35/1,683.52
  6. Step 6: Final answer
    x = 769.44

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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.