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Finding the Fourth Proportional to 1,683.21, 2,524.05 and 708.78

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Solution

The fourth proportional to 1,683.21, 2,524.05 and 708.78 is: 1,062.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.21 : 2,524.05 = 708.78 : x
  2. Step 2: Convert to fraction form
    1,683.21/2,524.05 = 708.78/x
  3. Step 3: Cross multiply
    1,683.21x = 2,524.05 × 708.78
  4. Step 4: Simplify right side
    1,683.21x = 1,788,996.16
  5. Step 5: Solve for x
    x = 1,788,996.16/1,683.21
  6. Step 6: Final answer
    x = 1,062.85

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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.