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Finding the Fourth Proportional to 1,048.06, 1,446.33 and 582.31

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Solution

The fourth proportional to 1,048.06, 1,446.33 and 582.31 is: 803.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.06 : 1,446.33 = 582.31 : x
  2. Step 2: Convert to fraction form
    1,048.06/1,446.33 = 582.31/x
  3. Step 3: Cross multiply
    1,048.06x = 1,446.33 × 582.31
  4. Step 4: Simplify right side
    1,048.06x = 842,212.42
  5. Step 5: Solve for x
    x = 842,212.42/1,048.06
  6. Step 6: Final answer
    x = 803.59

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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.