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Finding the Fourth Proportional to 1,187, 1,634.19 and 1,031.69

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Solution

The fourth proportional to 1,187, 1,634.19 and 1,031.69 is: 1,420.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187 : 1,634.19 = 1,031.69 : x
  2. Step 2: Convert to fraction form
    1,187/1,634.19 = 1,031.69/x
  3. Step 3: Cross multiply
    1,187x = 1,634.19 × 1,031.69
  4. Step 4: Simplify right side
    1,187x = 1,685,977.48
  5. Step 5: Solve for x
    x = 1,685,977.48/1,187
  6. Step 6: Final answer
    x = 1,420.37

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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.