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Finding the Fourth Proportional to 1,685.80, 2,529.83 and 590.17

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Solution

The fourth proportional to 1,685.80, 2,529.83 and 590.17 is: 885.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.80 : 2,529.83 = 590.17 : x
  2. Step 2: Convert to fraction form
    1,685.80/2,529.83 = 590.17/x
  3. Step 3: Cross multiply
    1,685.80x = 2,529.83 × 590.17
  4. Step 4: Simplify right side
    1,685.80x = 1,493,029.67
  5. Step 5: Solve for x
    x = 1,493,029.67/1,685.80
  6. Step 6: Final answer
    x = 885.65

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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.