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Finding the Fourth Proportional to 1,165.57, 1,608.46 and 634.43

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Solution

The fourth proportional to 1,165.57, 1,608.46 and 634.43 is: 875.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.57 : 1,608.46 = 634.43 : x
  2. Step 2: Convert to fraction form
    1,165.57/1,608.46 = 634.43/x
  3. Step 3: Cross multiply
    1,165.57x = 1,608.46 × 634.43
  4. Step 4: Simplify right side
    1,165.57x = 1,020,455.28
  5. Step 5: Solve for x
    x = 1,020,455.28/1,165.57
  6. Step 6: Final answer
    x = 875.50

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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.