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Finding the Fourth Proportional to 1,739.46, 2,609.75 and 643.98

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Solution

The fourth proportional to 1,739.46, 2,609.75 and 643.98 is: 966.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.46 : 2,609.75 = 643.98 : x
  2. Step 2: Convert to fraction form
    1,739.46/2,609.75 = 643.98/x
  3. Step 3: Cross multiply
    1,739.46x = 2,609.75 × 643.98
  4. Step 4: Simplify right side
    1,739.46x = 1,680,626.81
  5. Step 5: Solve for x
    x = 1,680,626.81/1,739.46
  6. Step 6: Final answer
    x = 966.18

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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.