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Finding the Fourth Proportional to 1,042.51, 1,563.72 and 426.06

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Solution

The fourth proportional to 1,042.51, 1,563.72 and 426.06 is: 639.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.51 : 1,563.72 = 426.06 : x
  2. Step 2: Convert to fraction form
    1,042.51/1,563.72 = 426.06/x
  3. Step 3: Cross multiply
    1,042.51x = 1,563.72 × 426.06
  4. Step 4: Simplify right side
    1,042.51x = 666,238.54
  5. Step 5: Solve for x
    x = 666,238.54/1,042.51
  6. Step 6: Final answer
    x = 639.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.