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Finding the Fourth Proportional to 1,020.50, 1,529.61 and 403.73

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Solution

The fourth proportional to 1,020.50, 1,529.61 and 403.73 is: 605.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.50 : 1,529.61 = 403.73 : x
  2. Step 2: Convert to fraction form
    1,020.50/1,529.61 = 403.73/x
  3. Step 3: Cross multiply
    1,020.50x = 1,529.61 × 403.73
  4. Step 4: Simplify right side
    1,020.50x = 617,551.25
  5. Step 5: Solve for x
    x = 617,551.25/1,020.50
  6. Step 6: Final answer
    x = 605.15

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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.