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Finding the Fourth Proportional to 1,307.69, 1,961.56 and 333.81

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Solution

The fourth proportional to 1,307.69, 1,961.56 and 333.81 is: 500.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.69 : 1,961.56 = 333.81 : x
  2. Step 2: Convert to fraction form
    1,307.69/1,961.56 = 333.81/x
  3. Step 3: Cross multiply
    1,307.69x = 1,961.56 × 333.81
  4. Step 4: Simplify right side
    1,307.69x = 654,788.34
  5. Step 5: Solve for x
    x = 654,788.34/1,307.69
  6. Step 6: Final answer
    x = 500.72

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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.