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Finding the Fourth Proportional to 1,300.12, 1,949.16 and 651.28

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Solution

The fourth proportional to 1,300.12, 1,949.16 and 651.28 is: 976.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.12 : 1,949.16 = 651.28 : x
  2. Step 2: Convert to fraction form
    1,300.12/1,949.16 = 651.28/x
  3. Step 3: Cross multiply
    1,300.12x = 1,949.16 × 651.28
  4. Step 4: Simplify right side
    1,300.12x = 1,269,448.92
  5. Step 5: Solve for x
    x = 1,269,448.92/1,300.12
  6. Step 6: Final answer
    x = 976.41

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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.