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Finding the Fourth Proportional to 781.88, 1,172.26 and 370.80

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Solution

The fourth proportional to 781.88, 1,172.26 and 370.80 is: 555.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.88 : 1,172.26 = 370.80 : x
  2. Step 2: Convert to fraction form
    781.88/1,172.26 = 370.80/x
  3. Step 3: Cross multiply
    781.88x = 1,172.26 × 370.80
  4. Step 4: Simplify right side
    781.88x = 434,674.01
  5. Step 5: Solve for x
    x = 434,674.01/781.88
  6. Step 6: Final answer
    x = 555.93

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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.