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Finding the Fourth Proportional to 1,048.78, 1,447.34 and 583.03

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Solution

The fourth proportional to 1,048.78, 1,447.34 and 583.03 is: 804.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.78 : 1,447.34 = 583.03 : x
  2. Step 2: Convert to fraction form
    1,048.78/1,447.34 = 583.03/x
  3. Step 3: Cross multiply
    1,048.78x = 1,447.34 × 583.03
  4. Step 4: Simplify right side
    1,048.78x = 843,841.53
  5. Step 5: Solve for x
    x = 843,841.53/1,048.78
  6. Step 6: Final answer
    x = 804.59

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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.