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Finding the Fourth Proportional to 1,307.54, 1,960.39 and 613.84

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Solution

The fourth proportional to 1,307.54, 1,960.39 and 613.84 is: 920.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.54 : 1,960.39 = 613.84 : x
  2. Step 2: Convert to fraction form
    1,307.54/1,960.39 = 613.84/x
  3. Step 3: Cross multiply
    1,307.54x = 1,960.39 × 613.84
  4. Step 4: Simplify right side
    1,307.54x = 1,203,365.80
  5. Step 5: Solve for x
    x = 1,203,365.80/1,307.54
  6. Step 6: Final answer
    x = 920.33

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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.