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Finding the Fourth Proportional to 1,145.63, 1,581.01 and 648.26

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Solution

The fourth proportional to 1,145.63, 1,581.01 and 648.26 is: 894.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.63 : 1,581.01 = 648.26 : x
  2. Step 2: Convert to fraction form
    1,145.63/1,581.01 = 648.26/x
  3. Step 3: Cross multiply
    1,145.63x = 1,581.01 × 648.26
  4. Step 4: Simplify right side
    1,145.63x = 1,024,908.68
  5. Step 5: Solve for x
    x = 1,024,908.68/1,145.63
  6. Step 6: Final answer
    x = 894.62

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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.