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Finding the Fourth Proportional to 780.32, 1,169.84 and 628

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Solution

The fourth proportional to 780.32, 1,169.84 and 628 is: 941.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.32 : 1,169.84 = 628 : x
  2. Step 2: Convert to fraction form
    780.32/1,169.84 = 628/x
  3. Step 3: Cross multiply
    780.32x = 1,169.84 × 628
  4. Step 4: Simplify right side
    780.32x = 734,659.52
  5. Step 5: Solve for x
    x = 734,659.52/780.32
  6. Step 6: Final answer
    x = 941.48

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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.