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Finding the Fourth Proportional to 767.51, 1,150.70 and 273.65

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Solution

The fourth proportional to 767.51, 1,150.70 and 273.65 is: 410.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.51 : 1,150.70 = 273.65 : x
  2. Step 2: Convert to fraction form
    767.51/1,150.70 = 273.65/x
  3. Step 3: Cross multiply
    767.51x = 1,150.70 × 273.65
  4. Step 4: Simplify right side
    767.51x = 314,886.25
  5. Step 5: Solve for x
    x = 314,886.25/767.51
  6. Step 6: Final answer
    x = 410.27

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