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Finding the Fourth Proportional to 1,446.31, 1,995.90 and 783.16

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Solution

The fourth proportional to 1,446.31, 1,995.90 and 783.16 is: 1,080.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.31 : 1,995.90 = 783.16 : x
  2. Step 2: Convert to fraction form
    1,446.31/1,995.90 = 783.16/x
  3. Step 3: Cross multiply
    1,446.31x = 1,995.90 × 783.16
  4. Step 4: Simplify right side
    1,446.31x = 1,563,109.04
  5. Step 5: Solve for x
    x = 1,563,109.04/1,446.31
  6. Step 6: Final answer
    x = 1,080.76

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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.