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Finding the Fourth Proportional to 1,304.86, 1,958.09 and 689.01

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Solution

The fourth proportional to 1,304.86, 1,958.09 and 689.01 is: 1,033.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.86 : 1,958.09 = 689.01 : x
  2. Step 2: Convert to fraction form
    1,304.86/1,958.09 = 689.01/x
  3. Step 3: Cross multiply
    1,304.86x = 1,958.09 × 689.01
  4. Step 4: Simplify right side
    1,304.86x = 1,349,143.59
  5. Step 5: Solve for x
    x = 1,349,143.59/1,304.86
  6. Step 6: Final answer
    x = 1,033.94

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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.