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Finding the Fourth Proportional to 1,307.09, 1,960.92 and 441.38

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Solution

The fourth proportional to 1,307.09, 1,960.92 and 441.38 is: 662.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.09 : 1,960.92 = 441.38 : x
  2. Step 2: Convert to fraction form
    1,307.09/1,960.92 = 441.38/x
  3. Step 3: Cross multiply
    1,307.09x = 1,960.92 × 441.38
  4. Step 4: Simplify right side
    1,307.09x = 865,501.07
  5. Step 5: Solve for x
    x = 865,501.07/1,307.09
  6. Step 6: Final answer
    x = 662.16

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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.