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Finding the Fourth Proportional to 1,114.14, 1,536.53 and 781.98

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Solution

The fourth proportional to 1,114.14, 1,536.53 and 781.98 is: 1,078.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.14 : 1,536.53 = 781.98 : x
  2. Step 2: Convert to fraction form
    1,114.14/1,536.53 = 781.98/x
  3. Step 3: Cross multiply
    1,114.14x = 1,536.53 × 781.98
  4. Step 4: Simplify right side
    1,114.14x = 1,201,535.73
  5. Step 5: Solve for x
    x = 1,201,535.73/1,114.14
  6. Step 6: Final answer
    x = 1,078.44

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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.