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Finding the Fourth Proportional to 1,072.41, 1,480.57 and 700.04

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Solution

The fourth proportional to 1,072.41, 1,480.57 and 700.04 is: 966.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.41 : 1,480.57 = 700.04 : x
  2. Step 2: Convert to fraction form
    1,072.41/1,480.57 = 700.04/x
  3. Step 3: Cross multiply
    1,072.41x = 1,480.57 × 700.04
  4. Step 4: Simplify right side
    1,072.41x = 1,036,458.22
  5. Step 5: Solve for x
    x = 1,036,458.22/1,072.41
  6. Step 6: Final answer
    x = 966.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.