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Finding the Fourth Proportional to 1,683.50, 2,525.42 and 451.03

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Solution

The fourth proportional to 1,683.50, 2,525.42 and 451.03 is: 676.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.50 : 2,525.42 = 451.03 : x
  2. Step 2: Convert to fraction form
    1,683.50/2,525.42 = 451.03/x
  3. Step 3: Cross multiply
    1,683.50x = 2,525.42 × 451.03
  4. Step 4: Simplify right side
    1,683.50x = 1,139,040.11
  5. Step 5: Solve for x
    x = 1,139,040.11/1,683.50
  6. Step 6: Final answer
    x = 676.59

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1.5x scale

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.