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Finding the Fourth Proportional to 1,687.02, 2,530.80 and 454.52

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Solution

The fourth proportional to 1,687.02, 2,530.80 and 454.52 is: 681.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.02 : 2,530.80 = 454.52 : x
  2. Step 2: Convert to fraction form
    1,687.02/2,530.80 = 454.52/x
  3. Step 3: Cross multiply
    1,687.02x = 2,530.80 × 454.52
  4. Step 4: Simplify right side
    1,687.02x = 1,150,299.22
  5. Step 5: Solve for x
    x = 1,150,299.22/1,687.02
  6. Step 6: Final answer
    x = 681.85

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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.