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Finding the Fourth Proportional to 1,305.84, 1,958.34 and 689.19

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Solution

The fourth proportional to 1,305.84, 1,958.34 and 689.19 is: 1,033.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.84 : 1,958.34 = 689.19 : x
  2. Step 2: Convert to fraction form
    1,305.84/1,958.34 = 689.19/x
  3. Step 3: Cross multiply
    1,305.84x = 1,958.34 × 689.19
  4. Step 4: Simplify right side
    1,305.84x = 1,349,668.34
  5. Step 5: Solve for x
    x = 1,349,668.34/1,305.84
  6. Step 6: Final answer
    x = 1,033.56

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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.