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Finding the Fourth Proportional to 1,157.78, 1,730.26 and 941.60

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Solution

The fourth proportional to 1,157.78, 1,730.26 and 941.60 is: 1,407.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.78 : 1,730.26 = 941.60 : x
  2. Step 2: Convert to fraction form
    1,157.78/1,730.26 = 941.60/x
  3. Step 3: Cross multiply
    1,157.78x = 1,730.26 × 941.60
  4. Step 4: Simplify right side
    1,157.78x = 1,629,212.82
  5. Step 5: Solve for x
    x = 1,629,212.82/1,157.78
  6. Step 6: Final answer
    x = 1,407.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.