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Finding the Fourth Proportional to 1,165, 1,608.66 and 1,019.32

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Solution

The fourth proportional to 1,165, 1,608.66 and 1,019.32 is: 1,407.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165 : 1,608.66 = 1,019.32 : x
  2. Step 2: Convert to fraction form
    1,165/1,608.66 = 1,019.32/x
  3. Step 3: Cross multiply
    1,165x = 1,608.66 × 1,019.32
  4. Step 4: Simplify right side
    1,165x = 1,639,739.31
  5. Step 5: Solve for x
    x = 1,639,739.31/1,165
  6. Step 6: Final answer
    x = 1,407.50

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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.