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Finding the Fourth Proportional to 1,307.06, 1,960.42 and 333.14

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Solution

The fourth proportional to 1,307.06, 1,960.42 and 333.14 is: 499.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.06 : 1,960.42 = 333.14 : x
  2. Step 2: Convert to fraction form
    1,307.06/1,960.42 = 333.14/x
  3. Step 3: Cross multiply
    1,307.06x = 1,960.42 × 333.14
  4. Step 4: Simplify right side
    1,307.06x = 653,094.32
  5. Step 5: Solve for x
    x = 653,094.32/1,307.06
  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.