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Finding the Fourth Proportional to 1,659.76, 2,490.29 and 685.63

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Solution

The fourth proportional to 1,659.76, 2,490.29 and 685.63 is: 1,028.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.76 : 2,490.29 = 685.63 : x
  2. Step 2: Convert to fraction form
    1,659.76/2,490.29 = 685.63/x
  3. Step 3: Cross multiply
    1,659.76x = 2,490.29 × 685.63
  4. Step 4: Simplify right side
    1,659.76x = 1,707,417.53
  5. Step 5: Solve for x
    x = 1,707,417.53/1,659.76
  6. Step 6: Final answer
    x = 1,028.71

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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.