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Finding the Fourth Proportional to 1,310.39, 1,965.93 and 488.67

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Solution

The fourth proportional to 1,310.39, 1,965.93 and 488.67 is: 733.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.39 : 1,965.93 = 488.67 : x
  2. Step 2: Convert to fraction form
    1,310.39/1,965.93 = 488.67/x
  3. Step 3: Cross multiply
    1,310.39x = 1,965.93 × 488.67
  4. Step 4: Simplify right side
    1,310.39x = 960,694.24
  5. Step 5: Solve for x
    x = 960,694.24/1,310.39
  6. Step 6: Final answer
    x = 733.14

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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.