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Finding the Fourth Proportional to 1,307.05, 1,960.64 and 333.16

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Solution

The fourth proportional to 1,307.05, 1,960.64 and 333.16 is: 499.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.05 : 1,960.64 = 333.16 : x
  2. Step 2: Convert to fraction form
    1,307.05/1,960.64 = 333.16/x
  3. Step 3: Cross multiply
    1,307.05x = 1,960.64 × 333.16
  4. Step 4: Simplify right side
    1,307.05x = 653,206.82
  5. Step 5: Solve for x
    x = 653,206.82/1,307.05
  6. Step 6: Final answer
    x = 499.76

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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.