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Finding the Fourth Proportional to 1,307.07, 1,960.53 and 333.14

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Solution

The fourth proportional to 1,307.07, 1,960.53 and 333.14 is: 499.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.07 : 1,960.53 = 333.14 : x
  2. Step 2: Convert to fraction form
    1,307.07/1,960.53 = 333.14/x
  3. Step 3: Cross multiply
    1,307.07x = 1,960.53 × 333.14
  4. Step 4: Simplify right side
    1,307.07x = 653,121.16
  5. Step 5: Solve for x
    x = 653,121.16/1,307.07
  6. Step 6: Final answer
    x = 499.68

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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.