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Finding the Fourth Proportional to 1,157.91, 1,736.79 and 378.42

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Solution

The fourth proportional to 1,157.91, 1,736.79 and 378.42 is: 567.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.91 : 1,736.79 = 378.42 : x
  2. Step 2: Convert to fraction form
    1,157.91/1,736.79 = 378.42/x
  3. Step 3: Cross multiply
    1,157.91x = 1,736.79 × 378.42
  4. Step 4: Simplify right side
    1,157.91x = 657,227.39
  5. Step 5: Solve for x
    x = 657,227.39/1,157.91
  6. Step 6: Final answer
    x = 567.60

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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.