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Finding the Fourth Proportional to 1,684.54, 2,527.25 and 644.56

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Solution

The fourth proportional to 1,684.54, 2,527.25 and 644.56 is: 967.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.54 : 2,527.25 = 644.56 : x
  2. Step 2: Convert to fraction form
    1,684.54/2,527.25 = 644.56/x
  3. Step 3: Cross multiply
    1,684.54x = 2,527.25 × 644.56
  4. Step 4: Simplify right side
    1,684.54x = 1,628,964.26
  5. Step 5: Solve for x
    x = 1,628,964.26/1,684.54
  6. Step 6: Final answer
    x = 967.01

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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.