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Finding the Fourth Proportional to 933.56, 1,289.34 and 726.24

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Solution

The fourth proportional to 933.56, 1,289.34 and 726.24 is: 1,003.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.56 : 1,289.34 = 726.24 : x
  2. Step 2: Convert to fraction form
    933.56/1,289.34 = 726.24/x
  3. Step 3: Cross multiply
    933.56x = 1,289.34 × 726.24
  4. Step 4: Simplify right side
    933.56x = 936,370.28
  5. Step 5: Solve for x
    x = 936,370.28/933.56
  6. Step 6: Final answer
    x = 1,003.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.