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Finding the Fourth Proportional to 1,157, 1,738.38 and 954.68

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Solution

The fourth proportional to 1,157, 1,738.38 and 954.68 is: 1,434.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157 : 1,738.38 = 954.68 : x
  2. Step 2: Convert to fraction form
    1,157/1,738.38 = 954.68/x
  3. Step 3: Cross multiply
    1,157x = 1,738.38 × 954.68
  4. Step 4: Simplify right side
    1,157x = 1,659,596.62
  5. Step 5: Solve for x
    x = 1,659,596.62/1,157
  6. Step 6: Final answer
    x = 1,434.40

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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.