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Finding the Fourth Proportional to 1,686.63, 2,529.72 and 454.14

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Solution

The fourth proportional to 1,686.63, 2,529.72 and 454.14 is: 681.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.63 : 2,529.72 = 454.14 : x
  2. Step 2: Convert to fraction form
    1,686.63/2,529.72 = 454.14/x
  3. Step 3: Cross multiply
    1,686.63x = 2,529.72 × 454.14
  4. Step 4: Simplify right side
    1,686.63x = 1,148,847.04
  5. Step 5: Solve for x
    x = 1,148,847.04/1,686.63
  6. Step 6: Final answer
    x = 681.15

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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.