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Finding the Fourth Proportional to 1,033.21, 1,548.55 and 484.66

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Solution

The fourth proportional to 1,033.21, 1,548.55 and 484.66 is: 726.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.21 : 1,548.55 = 484.66 : x
  2. Step 2: Convert to fraction form
    1,033.21/1,548.55 = 484.66/x
  3. Step 3: Cross multiply
    1,033.21x = 1,548.55 × 484.66
  4. Step 4: Simplify right side
    1,033.21x = 750,520.24
  5. Step 5: Solve for x
    x = 750,520.24/1,033.21
  6. Step 6: Final answer
    x = 726.40

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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.