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Finding the Fourth Proportional to 780.60, 1,170.42 and 548.92

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Solution

The fourth proportional to 780.60, 1,170.42 and 548.92 is: 823.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.60 : 1,170.42 = 548.92 : x
  2. Step 2: Convert to fraction form
    780.60/1,170.42 = 548.92/x
  3. Step 3: Cross multiply
    780.60x = 1,170.42 × 548.92
  4. Step 4: Simplify right side
    780.60x = 642,466.95
  5. Step 5: Solve for x
    x = 642,466.95/780.60
  6. Step 6: Final answer
    x = 823.04

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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.