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Finding the Fourth Proportional to 1,048.36, 1,446.82 and 582.68

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Solution

The fourth proportional to 1,048.36, 1,446.82 and 582.68 is: 804.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.36 : 1,446.82 = 582.68 : x
  2. Step 2: Convert to fraction form
    1,048.36/1,446.82 = 582.68/x
  3. Step 3: Cross multiply
    1,048.36x = 1,446.82 × 582.68
  4. Step 4: Simplify right side
    1,048.36x = 843,033.08
  5. Step 5: Solve for x
    x = 843,033.08/1,048.36
  6. Step 6: Final answer
    x = 804.14

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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.