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Finding the Fourth Proportional to 1,310.53, 1,965.49 and 385.84

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Solution

The fourth proportional to 1,310.53, 1,965.49 and 385.84 is: 578.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.53 : 1,965.49 = 385.84 : x
  2. Step 2: Convert to fraction form
    1,310.53/1,965.49 = 385.84/x
  3. Step 3: Cross multiply
    1,310.53x = 1,965.49 × 385.84
  4. Step 4: Simplify right side
    1,310.53x = 758,361.71
  5. Step 5: Solve for x
    x = 758,361.71/1,310.53
  6. Step 6: Final answer
    x = 578.67

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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.