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Finding the Fourth Proportional to 686.04, 1,029.56 and 361.48

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Solution

The fourth proportional to 686.04, 1,029.56 and 361.48 is: 542.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.04 : 1,029.56 = 361.48 : x
  2. Step 2: Convert to fraction form
    686.04/1,029.56 = 361.48/x
  3. Step 3: Cross multiply
    686.04x = 1,029.56 × 361.48
  4. Step 4: Simplify right side
    686.04x = 372,165.35
  5. Step 5: Solve for x
    x = 372,165.35/686.04
  6. Step 6: Final answer
    x = 542.48

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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.