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Finding the Fourth Proportional to 1,686.10, 2,529.29 and 453.48

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Solution

The fourth proportional to 1,686.10, 2,529.29 and 453.48 is: 680.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.10 : 2,529.29 = 453.48 : x
  2. Step 2: Convert to fraction form
    1,686.10/2,529.29 = 453.48/x
  3. Step 3: Cross multiply
    1,686.10x = 2,529.29 × 453.48
  4. Step 4: Simplify right side
    1,686.10x = 1,146,977.24
  5. Step 5: Solve for x
    x = 1,146,977.24/1,686.10
  6. Step 6: Final answer
    x = 680.26

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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.