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Finding the Fourth Proportional to 1,054.14, 1,455.12 and 943.42

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Solution

The fourth proportional to 1,054.14, 1,455.12 and 943.42 is: 1,302.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.14 : 1,455.12 = 943.42 : x
  2. Step 2: Convert to fraction form
    1,054.14/1,455.12 = 943.42/x
  3. Step 3: Cross multiply
    1,054.14x = 1,455.12 × 943.42
  4. Step 4: Simplify right side
    1,054.14x = 1,372,786.95
  5. Step 5: Solve for x
    x = 1,372,786.95/1,054.14
  6. Step 6: Final answer
    x = 1,302.29

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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.