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Finding the Fourth Proportional to 1,335.37, 2,004.14 and 686.29

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Solution

The fourth proportional to 1,335.37, 2,004.14 and 686.29 is: 1,029.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.37 : 2,004.14 = 686.29 : x
  2. Step 2: Convert to fraction form
    1,335.37/2,004.14 = 686.29/x
  3. Step 3: Cross multiply
    1,335.37x = 2,004.14 × 686.29
  4. Step 4: Simplify right side
    1,335.37x = 1,375,421.24
  5. Step 5: Solve for x
    x = 1,375,421.24/1,335.37
  6. Step 6: Final answer
    x = 1,029.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.