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Finding the Fourth Proportional to 1,114.04, 1,536.74 and 851.96

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Solution

The fourth proportional to 1,114.04, 1,536.74 and 851.96 is: 1,175.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.04 : 1,536.74 = 851.96 : x
  2. Step 2: Convert to fraction form
    1,114.04/1,536.74 = 851.96/x
  3. Step 3: Cross multiply
    1,114.04x = 1,536.74 × 851.96
  4. Step 4: Simplify right side
    1,114.04x = 1,309,241.01
  5. Step 5: Solve for x
    x = 1,309,241.01/1,114.04
  6. Step 6: Final answer
    x = 1,175.22

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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.