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Finding the Fourth Proportional to 1,055.41, 1,583.15 and 362.09

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Solution

The fourth proportional to 1,055.41, 1,583.15 and 362.09 is: 543.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.41 : 1,583.15 = 362.09 : x
  2. Step 2: Convert to fraction form
    1,055.41/1,583.15 = 362.09/x
  3. Step 3: Cross multiply
    1,055.41x = 1,583.15 × 362.09
  4. Step 4: Simplify right side
    1,055.41x = 573,244.93
  5. Step 5: Solve for x
    x = 573,244.93/1,055.41
  6. Step 6: Final answer
    x = 543.15

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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.