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Finding the Fourth Proportional to 1,158.96, 1,738.37 and 368.30

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Solution

The fourth proportional to 1,158.96, 1,738.37 and 368.30 is: 552.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.96 : 1,738.37 = 368.30 : x
  2. Step 2: Convert to fraction form
    1,158.96/1,738.37 = 368.30/x
  3. Step 3: Cross multiply
    1,158.96x = 1,738.37 × 368.30
  4. Step 4: Simplify right side
    1,158.96x = 640,231.14
  5. Step 5: Solve for x
    x = 640,231.14/1,158.96
  6. Step 6: Final answer
    x = 552.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.