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Finding the Fourth Proportional to 1,048.70, 1,447.19 and 582.95

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Solution

The fourth proportional to 1,048.70, 1,447.19 and 582.95 is: 804.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.70 : 1,447.19 = 582.95 : x
  2. Step 2: Convert to fraction form
    1,048.70/1,447.19 = 582.95/x
  3. Step 3: Cross multiply
    1,048.70x = 1,447.19 × 582.95
  4. Step 4: Simplify right side
    1,048.70x = 843,629.26
  5. Step 5: Solve for x
    x = 843,629.26/1,048.70
  6. Step 6: Final answer
    x = 804.46

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Why These Related Problems?

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