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Finding the Fourth Proportional to 1,315.16, 1,971.90 and 738.44

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Solution

The fourth proportional to 1,315.16, 1,971.90 and 738.44 is: 1,107.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.16 : 1,971.90 = 738.44 : x
  2. Step 2: Convert to fraction form
    1,315.16/1,971.90 = 738.44/x
  3. Step 3: Cross multiply
    1,315.16x = 1,971.90 × 738.44
  4. Step 4: Simplify right side
    1,315.16x = 1,456,119.98
  5. Step 5: Solve for x
    x = 1,456,119.98/1,315.16
  6. Step 6: Final answer
    x = 1,107.19

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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.