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Finding the Fourth Proportional to 1,683.89, 2,525.63 and 451.40

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Solution

The fourth proportional to 1,683.89, 2,525.63 and 451.40 is: 677.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.89 : 2,525.63 = 451.40 : x
  2. Step 2: Convert to fraction form
    1,683.89/2,525.63 = 451.40/x
  3. Step 3: Cross multiply
    1,683.89x = 2,525.63 × 451.40
  4. Step 4: Simplify right side
    1,683.89x = 1,140,069.38
  5. Step 5: Solve for x
    x = 1,140,069.38/1,683.89
  6. Step 6: Final answer
    x = 677.05

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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.