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Finding the Fourth Proportional to 1,453.27, 2,005.43 and 790.12

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Solution

The fourth proportional to 1,453.27, 2,005.43 and 790.12 is: 1,090.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.27 : 2,005.43 = 790.12 : x
  2. Step 2: Convert to fraction form
    1,453.27/2,005.43 = 790.12/x
  3. Step 3: Cross multiply
    1,453.27x = 2,005.43 × 790.12
  4. Step 4: Simplify right side
    1,453.27x = 1,584,518.37
  5. Step 5: Solve for x
    x = 1,584,518.37/1,453.27
  6. Step 6: Final answer
    x = 1,090.31

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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.