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Finding the Fourth Proportional to 1,033.13, 1,549.52 and 302.54

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Solution

The fourth proportional to 1,033.13, 1,549.52 and 302.54 is: 453.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.13 : 1,549.52 = 302.54 : x
  2. Step 2: Convert to fraction form
    1,033.13/1,549.52 = 302.54/x
  3. Step 3: Cross multiply
    1,033.13x = 1,549.52 × 302.54
  4. Step 4: Simplify right side
    1,033.13x = 468,791.78
  5. Step 5: Solve for x
    x = 468,791.78/1,033.13
  6. Step 6: Final answer
    x = 453.76

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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.