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Finding the Fourth Proportional to 1,484.24, 2,048.18 and 812.03

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Solution

The fourth proportional to 1,484.24, 2,048.18 and 812.03 is: 1,120.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.24 : 2,048.18 = 812.03 : x
  2. Step 2: Convert to fraction form
    1,484.24/2,048.18 = 812.03/x
  3. Step 3: Cross multiply
    1,484.24x = 2,048.18 × 812.03
  4. Step 4: Simplify right side
    1,484.24x = 1,663,173.36
  5. Step 5: Solve for x
    x = 1,663,173.36/1,484.24
  6. Step 6: Final answer
    x = 1,120.56

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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.