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Finding the Fourth Proportional to 1,157.46, 1,736.34 and 377.58

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Solution

The fourth proportional to 1,157.46, 1,736.34 and 377.58 is: 566.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.46 : 1,736.34 = 377.58 : x
  2. Step 2: Convert to fraction form
    1,157.46/1,736.34 = 377.58/x
  3. Step 3: Cross multiply
    1,157.46x = 1,736.34 × 377.58
  4. Step 4: Simplify right side
    1,157.46x = 655,602.59
  5. Step 5: Solve for x
    x = 655,602.59/1,157.46
  6. Step 6: Final answer
    x = 566.42

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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.