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Finding the Fourth Proportional to 781.88, 1,172.83 and 204.76

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Solution

The fourth proportional to 781.88, 1,172.83 and 204.76 is: 307.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.88 : 1,172.83 = 204.76 : x
  2. Step 2: Convert to fraction form
    781.88/1,172.83 = 204.76/x
  3. Step 3: Cross multiply
    781.88x = 1,172.83 × 204.76
  4. Step 4: Simplify right side
    781.88x = 240,142.81
  5. Step 5: Solve for x
    x = 240,142.81/781.88
  6. Step 6: Final answer
    x = 307.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.