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Finding the Fourth Proportional to 780.93, 1,172.10 and 416.03

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Solution

The fourth proportional to 780.93, 1,172.10 and 416.03 is: 624.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.93 : 1,172.10 = 416.03 : x
  2. Step 2: Convert to fraction form
    780.93/1,172.10 = 416.03/x
  3. Step 3: Cross multiply
    780.93x = 1,172.10 × 416.03
  4. Step 4: Simplify right side
    780.93x = 487,622.90
  5. Step 5: Solve for x
    x = 487,622.90/780.93
  6. Step 6: Final answer
    x = 624.41

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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.