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Finding the Fourth Proportional to 1,310.40, 1,965.74 and 488.45

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Solution

The fourth proportional to 1,310.40, 1,965.74 and 488.45 is: 732.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.40 : 1,965.74 = 488.45 : x
  2. Step 2: Convert to fraction form
    1,310.40/1,965.74 = 488.45/x
  3. Step 3: Cross multiply
    1,310.40x = 1,965.74 × 488.45
  4. Step 4: Simplify right side
    1,310.40x = 960,168.18
  5. Step 5: Solve for x
    x = 960,168.18/1,310.40
  6. Step 6: Final answer
    x = 732.73

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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.