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Finding the Fourth Proportional to 1,033.06, 1,549.82 and 302.64

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Solution

The fourth proportional to 1,033.06, 1,549.82 and 302.64 is: 454.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.06 : 1,549.82 = 302.64 : x
  2. Step 2: Convert to fraction form
    1,033.06/1,549.82 = 302.64/x
  3. Step 3: Cross multiply
    1,033.06x = 1,549.82 × 302.64
  4. Step 4: Simplify right side
    1,033.06x = 469,040.64
  5. Step 5: Solve for x
    x = 469,040.64/1,033.06
  6. Step 6: Final answer
    x = 454.03

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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.