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Finding the Fourth Proportional to 1,165.65, 1,608.53 and 1,072.77

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Solution

The fourth proportional to 1,165.65, 1,608.53 and 1,072.77 is: 1,480.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.65 : 1,608.53 = 1,072.77 : x
  2. Step 2: Convert to fraction form
    1,165.65/1,608.53 = 1,072.77/x
  3. Step 3: Cross multiply
    1,165.65x = 1,608.53 × 1,072.77
  4. Step 4: Simplify right side
    1,165.65x = 1,725,577.36
  5. Step 5: Solve for x
    x = 1,725,577.36/1,165.65
  6. Step 6: Final answer
    x = 1,480.36

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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.