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Finding the Fourth Proportional to 1,020.44, 1,529.64 and 403.81

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Solution

The fourth proportional to 1,020.44, 1,529.64 and 403.81 is: 605.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.44 : 1,529.64 = 403.81 : x
  2. Step 2: Convert to fraction form
    1,020.44/1,529.64 = 403.81/x
  3. Step 3: Cross multiply
    1,020.44x = 1,529.64 × 403.81
  4. Step 4: Simplify right side
    1,020.44x = 617,683.93
  5. Step 5: Solve for x
    x = 617,683.93/1,020.44
  6. Step 6: Final answer
    x = 605.31

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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.