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Finding the Fourth Proportional to 1,683.50, 2,525.27 and 529.25

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Solution

The fourth proportional to 1,683.50, 2,525.27 and 529.25 is: 793.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.50 : 2,525.27 = 529.25 : x
  2. Step 2: Convert to fraction form
    1,683.50/2,525.27 = 529.25/x
  3. Step 3: Cross multiply
    1,683.50x = 2,525.27 × 529.25
  4. Step 4: Simplify right side
    1,683.50x = 1,336,499.15
  5. Step 5: Solve for x
    x = 1,336,499.15/1,683.50
  6. Step 6: Final answer
    x = 793.88

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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.