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Finding the Fourth Proportional to 1,100.74, 1,651.38 and 370.48

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Solution

The fourth proportional to 1,100.74, 1,651.38 and 370.48 is: 555.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.74 : 1,651.38 = 370.48 : x
  2. Step 2: Convert to fraction form
    1,100.74/1,651.38 = 370.48/x
  3. Step 3: Cross multiply
    1,100.74x = 1,651.38 × 370.48
  4. Step 4: Simplify right side
    1,100.74x = 611,803.26
  5. Step 5: Solve for x
    x = 611,803.26/1,100.74
  6. Step 6: Final answer
    x = 555.81

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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.