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Finding the Fourth Proportional to 1,683.50, 2,525.34 and 529.34

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Solution

The fourth proportional to 1,683.50, 2,525.34 and 529.34 is: 794.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.50 : 2,525.34 = 529.34 : x
  2. Step 2: Convert to fraction form
    1,683.50/2,525.34 = 529.34/x
  3. Step 3: Cross multiply
    1,683.50x = 2,525.34 × 529.34
  4. Step 4: Simplify right side
    1,683.50x = 1,336,763.48
  5. Step 5: Solve for x
    x = 1,336,763.48/1,683.50
  6. Step 6: Final answer
    x = 794.04

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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.