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Finding the Fourth Proportional to 1,114.31, 1,536.84 and 741.44

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Solution

The fourth proportional to 1,114.31, 1,536.84 and 741.44 is: 1,022.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.31 : 1,536.84 = 741.44 : x
  2. Step 2: Convert to fraction form
    1,114.31/1,536.84 = 741.44/x
  3. Step 3: Cross multiply
    1,114.31x = 1,536.84 × 741.44
  4. Step 4: Simplify right side
    1,114.31x = 1,139,478.49
  5. Step 5: Solve for x
    x = 1,139,478.49/1,114.31
  6. Step 6: Final answer
    x = 1,022.58

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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.