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Finding the Fourth Proportional to 781.84, 1,173.02 and 261.89

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Solution

The fourth proportional to 781.84, 1,173.02 and 261.89 is: 392.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.84 : 1,173.02 = 261.89 : x
  2. Step 2: Convert to fraction form
    781.84/1,173.02 = 261.89/x
  3. Step 3: Cross multiply
    781.84x = 1,173.02 × 261.89
  4. Step 4: Simplify right side
    781.84x = 307,199.43
  5. Step 5: Solve for x
    x = 307,199.43/781.84
  6. Step 6: Final answer
    x = 392.92

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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.