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Finding the Fourth Proportional to 686.04, 1,029.06 and 362.04

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Solution

The fourth proportional to 686.04, 1,029.06 and 362.04 is: 543.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.04 : 1,029.06 = 362.04 : x
  2. Step 2: Convert to fraction form
    686.04/1,029.06 = 362.04/x
  3. Step 3: Cross multiply
    686.04x = 1,029.06 × 362.04
  4. Step 4: Simplify right side
    686.04x = 372,560.88
  5. Step 5: Solve for x
    x = 372,560.88/686.04
  6. Step 6: Final answer
    x = 543.06

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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.