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Finding the Fourth Proportional to 1,005.41, 1,387.46 and 563.29

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Solution

The fourth proportional to 1,005.41, 1,387.46 and 563.29 is: 777.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.41 : 1,387.46 = 563.29 : x
  2. Step 2: Convert to fraction form
    1,005.41/1,387.46 = 563.29/x
  3. Step 3: Cross multiply
    1,005.41x = 1,387.46 × 563.29
  4. Step 4: Simplify right side
    1,005.41x = 781,540.28
  5. Step 5: Solve for x
    x = 781,540.28/1,005.41
  6. Step 6: Final answer
    x = 777.33

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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.