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Finding the Fourth Proportional to 1,307.10, 1,960.62 and 333.12

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Solution

The fourth proportional to 1,307.10, 1,960.62 and 333.12 is: 499.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.10 : 1,960.62 = 333.12 : x
  2. Step 2: Convert to fraction form
    1,307.10/1,960.62 = 333.12/x
  3. Step 3: Cross multiply
    1,307.10x = 1,960.62 × 333.12
  4. Step 4: Simplify right side
    1,307.10x = 653,121.73
  5. Step 5: Solve for x
    x = 653,121.73/1,307.10
  6. Step 6: Final answer
    x = 499.67

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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.