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Finding the Fourth Proportional to 1,683.80, 2,524.62 and 709.64

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Solution

The fourth proportional to 1,683.80, 2,524.62 and 709.64 is: 1,064.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.80 : 2,524.62 = 709.64 : x
  2. Step 2: Convert to fraction form
    1,683.80/2,524.62 = 709.64/x
  3. Step 3: Cross multiply
    1,683.80x = 2,524.62 × 709.64
  4. Step 4: Simplify right side
    1,683.80x = 1,791,571.34
  5. Step 5: Solve for x
    x = 1,791,571.34/1,683.80
  6. Step 6: Final answer
    x = 1,064.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.