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Finding the Fourth Proportional to 780.45, 1,170.52 and 415.34

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Solution

The fourth proportional to 780.45, 1,170.52 and 415.34 is: 622.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.45 : 1,170.52 = 415.34 : x
  2. Step 2: Convert to fraction form
    780.45/1,170.52 = 415.34/x
  3. Step 3: Cross multiply
    780.45x = 1,170.52 × 415.34
  4. Step 4: Simplify right side
    780.45x = 486,161.28
  5. Step 5: Solve for x
    x = 486,161.28/780.45
  6. Step 6: Final answer
    x = 622.93

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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.