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Finding the Fourth Proportional to 1,048.50, 1,446.96 and 582.78

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Solution

The fourth proportional to 1,048.50, 1,446.96 and 582.78 is: 804.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.50 : 1,446.96 = 582.78 : x
  2. Step 2: Convert to fraction form
    1,048.50/1,446.96 = 582.78/x
  3. Step 3: Cross multiply
    1,048.50x = 1,446.96 × 582.78
  4. Step 4: Simplify right side
    1,048.50x = 843,259.35
  5. Step 5: Solve for x
    x = 843,259.35/1,048.50
  6. Step 6: Final answer
    x = 804.25

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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.