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Finding the Fourth Proportional to 1,271.03, 1,752.45 and 1,022.36

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Solution

The fourth proportional to 1,271.03, 1,752.45 and 1,022.36 is: 1,409.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.03 : 1,752.45 = 1,022.36 : x
  2. Step 2: Convert to fraction form
    1,271.03/1,752.45 = 1,022.36/x
  3. Step 3: Cross multiply
    1,271.03x = 1,752.45 × 1,022.36
  4. Step 4: Simplify right side
    1,271.03x = 1,791,634.78
  5. Step 5: Solve for x
    x = 1,791,634.78/1,271.03
  6. Step 6: Final answer
    x = 1,409.59

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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.