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Finding the Fourth Proportional to 1,699.70, 2,548.83 and 545.18

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Solution

The fourth proportional to 1,699.70, 2,548.83 and 545.18 is: 817.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.70 : 2,548.83 = 545.18 : x
  2. Step 2: Convert to fraction form
    1,699.70/2,548.83 = 545.18/x
  3. Step 3: Cross multiply
    1,699.70x = 2,548.83 × 545.18
  4. Step 4: Simplify right side
    1,699.70x = 1,389,571.14
  5. Step 5: Solve for x
    x = 1,389,571.14/1,699.70
  6. Step 6: Final answer
    x = 817.54

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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.