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Finding the Fourth Proportional to 1,029.25, 1,420.39 and 563.51

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Solution

The fourth proportional to 1,029.25, 1,420.39 and 563.51 is: 777.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.25 : 1,420.39 = 563.51 : x
  2. Step 2: Convert to fraction form
    1,029.25/1,420.39 = 563.51/x
  3. Step 3: Cross multiply
    1,029.25x = 1,420.39 × 563.51
  4. Step 4: Simplify right side
    1,029.25x = 800,403.97
  5. Step 5: Solve for x
    x = 800,403.97/1,029.25
  6. Step 6: Final answer
    x = 777.66

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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.