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Finding the Fourth Proportional to 1,164.96, 1,747.26 and 433.98

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Solution

The fourth proportional to 1,164.96, 1,747.26 and 433.98 is: 650.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.96 : 1,747.26 = 433.98 : x
  2. Step 2: Convert to fraction form
    1,164.96/1,747.26 = 433.98/x
  3. Step 3: Cross multiply
    1,164.96x = 1,747.26 × 433.98
  4. Step 4: Simplify right side
    1,164.96x = 758,275.89
  5. Step 5: Solve for x
    x = 758,275.89/1,164.96
  6. Step 6: Final answer
    x = 650.90

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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.