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Finding the Fourth Proportional to 1,048.82, 1,446.39 and 812.00

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Solution

The fourth proportional to 1,048.82, 1,446.39 and 812.00 is: 1,119.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.82 : 1,446.39 = 812.00 : x
  2. Step 2: Convert to fraction form
    1,048.82/1,446.39 = 812.00/x
  3. Step 3: Cross multiply
    1,048.82x = 1,446.39 × 812.00
  4. Step 4: Simplify right side
    1,048.82x = 1,174,461.45
  5. Step 5: Solve for x
    x = 1,174,461.45/1,048.82
  6. Step 6: Final answer
    x = 1,119.80

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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.