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Finding the Fourth Proportional to 686.83, 1,029.05 and 541.51

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Solution

The fourth proportional to 686.83, 1,029.05 and 541.51 is: 811.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.83 : 1,029.05 = 541.51 : x
  2. Step 2: Convert to fraction form
    686.83/1,029.05 = 541.51/x
  3. Step 3: Cross multiply
    686.83x = 1,029.05 × 541.51
  4. Step 4: Simplify right side
    686.83x = 557,240.87
  5. Step 5: Solve for x
    x = 557,240.87/686.83
  6. Step 6: Final answer
    x = 811.32

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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.