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Finding the Fourth Proportional to 1,802.70, 2,704.01 and 486.45

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Solution

The fourth proportional to 1,802.70, 2,704.01 and 486.45 is: 729.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.70 : 2,704.01 = 486.45 : x
  2. Step 2: Convert to fraction form
    1,802.70/2,704.01 = 486.45/x
  3. Step 3: Cross multiply
    1,802.70x = 2,704.01 × 486.45
  4. Step 4: Simplify right side
    1,802.70x = 1,315,363.23
  5. Step 5: Solve for x
    x = 1,315,363.23/1,802.70
  6. Step 6: Final answer
    x = 729.66

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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.