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Finding the Fourth Proportional to 1,164.88, 1,747 and 434.06

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Solution

The fourth proportional to 1,164.88, 1,747 and 434.06 is: 650.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.88 : 1,747 = 434.06 : x
  2. Step 2: Convert to fraction form
    1,164.88/1,747 = 434.06/x
  3. Step 3: Cross multiply
    1,164.88x = 1,747 × 434.06
  4. Step 4: Simplify right side
    1,164.88x = 758,302.82
  5. Step 5: Solve for x
    x = 758,302.82/1,164.88
  6. Step 6: Final answer
    x = 650.97

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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.