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Finding the Fourth Proportional to 781.61, 1,172.40 and 370.94

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Solution

The fourth proportional to 781.61, 1,172.40 and 370.94 is: 556.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.61 : 1,172.40 = 370.94 : x
  2. Step 2: Convert to fraction form
    781.61/1,172.40 = 370.94/x
  3. Step 3: Cross multiply
    781.61x = 1,172.40 × 370.94
  4. Step 4: Simplify right side
    781.61x = 434,890.06
  5. Step 5: Solve for x
    x = 434,890.06/781.61
  6. Step 6: Final answer
    x = 556.40

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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.