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Finding the Fourth Proportional to 1,723.46, 2,585.43 and 628.34

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Solution

The fourth proportional to 1,723.46, 2,585.43 and 628.34 is: 942.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.46 : 2,585.43 = 628.34 : x
  2. Step 2: Convert to fraction form
    1,723.46/2,585.43 = 628.34/x
  3. Step 3: Cross multiply
    1,723.46x = 2,585.43 × 628.34
  4. Step 4: Simplify right side
    1,723.46x = 1,624,529.09
  5. Step 5: Solve for x
    x = 1,624,529.09/1,723.46
  6. Step 6: Final answer
    x = 942.60

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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.