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Finding the Fourth Proportional to 1,204.98, 1,806.51 and 521.46

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Solution

The fourth proportional to 1,204.98, 1,806.51 and 521.46 is: 781.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.98 : 1,806.51 = 521.46 : x
  2. Step 2: Convert to fraction form
    1,204.98/1,806.51 = 521.46/x
  3. Step 3: Cross multiply
    1,204.98x = 1,806.51 × 521.46
  4. Step 4: Simplify right side
    1,204.98x = 942,022.70
  5. Step 5: Solve for x
    x = 942,022.70/1,204.98
  6. Step 6: Final answer
    x = 781.77

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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.