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Finding the Fourth Proportional to 1,029.44, 1,420.50 and 656.27

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Solution

The fourth proportional to 1,029.44, 1,420.50 and 656.27 is: 905.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.44 : 1,420.50 = 656.27 : x
  2. Step 2: Convert to fraction form
    1,029.44/1,420.50 = 656.27/x
  3. Step 3: Cross multiply
    1,029.44x = 1,420.50 × 656.27
  4. Step 4: Simplify right side
    1,029.44x = 932,232.22
  5. Step 5: Solve for x
    x = 932,232.22/1,029.44
  6. Step 6: Final answer
    x = 905.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.