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Finding the Fourth Proportional to 1,683.70, 2,525.19 and 528.82

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Solution

The fourth proportional to 1,683.70, 2,525.19 and 528.82 is: 793.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.70 : 2,525.19 = 528.82 : x
  2. Step 2: Convert to fraction form
    1,683.70/2,525.19 = 528.82/x
  3. Step 3: Cross multiply
    1,683.70x = 2,525.19 × 528.82
  4. Step 4: Simplify right side
    1,683.70x = 1,335,370.98
  5. Step 5: Solve for x
    x = 1,335,370.98/1,683.70
  6. Step 6: Final answer
    x = 793.12

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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.