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Finding the Fourth Proportional to 1,687.00, 2,529.89 and 713.18

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Solution

The fourth proportional to 1,687.00, 2,529.89 and 713.18 is: 1,069.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.00 : 2,529.89 = 713.18 : x
  2. Step 2: Convert to fraction form
    1,687.00/2,529.89 = 713.18/x
  3. Step 3: Cross multiply
    1,687.00x = 2,529.89 × 713.18
  4. Step 4: Simplify right side
    1,687.00x = 1,804,268.73
  5. Step 5: Solve for x
    x = 1,804,268.73/1,687.00
  6. Step 6: Final answer
    x = 1,069.51

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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.