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Finding the Fourth Proportional to 1,143.62, 1,577.04 and 933.12

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Solution

The fourth proportional to 1,143.62, 1,577.04 and 933.12 is: 1,286.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.62 : 1,577.04 = 933.12 : x
  2. Step 2: Convert to fraction form
    1,143.62/1,577.04 = 933.12/x
  3. Step 3: Cross multiply
    1,143.62x = 1,577.04 × 933.12
  4. Step 4: Simplify right side
    1,143.62x = 1,471,567.56
  5. Step 5: Solve for x
    x = 1,471,567.56/1,143.62
  6. Step 6: Final answer
    x = 1,286.76

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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.