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Finding the Fourth Proportional to 1,055.53, 1,583.31 and 275.48

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Solution

The fourth proportional to 1,055.53, 1,583.31 and 275.48 is: 413.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.53 : 1,583.31 = 275.48 : x
  2. Step 2: Convert to fraction form
    1,055.53/1,583.31 = 275.48/x
  3. Step 3: Cross multiply
    1,055.53x = 1,583.31 × 275.48
  4. Step 4: Simplify right side
    1,055.53x = 436,170.24
  5. Step 5: Solve for x
    x = 436,170.24/1,055.53
  6. Step 6: Final answer
    x = 413.23

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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.