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Finding the Fourth Proportional to 1,412.36, 1,949.06 and 782.92

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Solution

The fourth proportional to 1,412.36, 1,949.06 and 782.92 is: 1,080.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.36 : 1,949.06 = 782.92 : x
  2. Step 2: Convert to fraction form
    1,412.36/1,949.06 = 782.92/x
  3. Step 3: Cross multiply
    1,412.36x = 1,949.06 × 782.92
  4. Step 4: Simplify right side
    1,412.36x = 1,525,958.06
  5. Step 5: Solve for x
    x = 1,525,958.06/1,412.36
  6. Step 6: Final answer
    x = 1,080.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.