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Finding the Fourth Proportional to 1,307.82, 1,960.11 and 613.59

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Solution

The fourth proportional to 1,307.82, 1,960.11 and 613.59 is: 919.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.82 : 1,960.11 = 613.59 : x
  2. Step 2: Convert to fraction form
    1,307.82/1,960.11 = 613.59/x
  3. Step 3: Cross multiply
    1,307.82x = 1,960.11 × 613.59
  4. Step 4: Simplify right side
    1,307.82x = 1,202,703.89
  5. Step 5: Solve for x
    x = 1,202,703.89/1,307.82
  6. Step 6: Final answer
    x = 919.62

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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.