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Finding the Fourth Proportional to 1,033.25, 1,549.88 and 302.83

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Solution

The fourth proportional to 1,033.25, 1,549.88 and 302.83 is: 454.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.25 : 1,549.88 = 302.83 : x
  2. Step 2: Convert to fraction form
    1,033.25/1,549.88 = 302.83/x
  3. Step 3: Cross multiply
    1,033.25x = 1,549.88 × 302.83
  4. Step 4: Simplify right side
    1,033.25x = 469,351.72
  5. Step 5: Solve for x
    x = 469,351.72/1,033.25
  6. Step 6: Final answer
    x = 454.25

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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.