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Finding the Fourth Proportional to 1,165.45, 1,608.32 and 634.33

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Solution

The fourth proportional to 1,165.45, 1,608.32 and 634.33 is: 875.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.45 : 1,608.32 = 634.33 : x
  2. Step 2: Convert to fraction form
    1,165.45/1,608.32 = 634.33/x
  3. Step 3: Cross multiply
    1,165.45x = 1,608.32 × 634.33
  4. Step 4: Simplify right side
    1,165.45x = 1,020,205.63
  5. Step 5: Solve for x
    x = 1,020,205.63/1,165.45
  6. Step 6: Final answer
    x = 875.37

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1.5x scale

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.