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Finding the Fourth Proportional to 1,083.07, 1,625.00 and 563.43

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Solution

The fourth proportional to 1,083.07, 1,625.00 and 563.43 is: 845.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.07 : 1,625.00 = 563.43 : x
  2. Step 2: Convert to fraction form
    1,083.07/1,625.00 = 563.43/x
  3. Step 3: Cross multiply
    1,083.07x = 1,625.00 × 563.43
  4. Step 4: Simplify right side
    1,083.07x = 915,577.21
  5. Step 5: Solve for x
    x = 915,577.21/1,083.07
  6. Step 6: Final answer
    x = 845.35

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Why These Related Problems?

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