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Finding the Fourth Proportional to 1,041.14, 1,446.42 and 1,031.63

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Solution

The fourth proportional to 1,041.14, 1,446.42 and 1,031.63 is: 1,433.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.14 : 1,446.42 = 1,031.63 : x
  2. Step 2: Convert to fraction form
    1,041.14/1,446.42 = 1,031.63/x
  3. Step 3: Cross multiply
    1,041.14x = 1,446.42 × 1,031.63
  4. Step 4: Simplify right side
    1,041.14x = 1,492,163.03
  5. Step 5: Solve for x
    x = 1,492,163.03/1,041.14
  6. Step 6: Final answer
    x = 1,433.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.