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Finding the Fourth Proportional to 1,033.40, 1,549.74 and 302.78

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Solution

The fourth proportional to 1,033.40, 1,549.74 and 302.78 is: 454.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.40 : 1,549.74 = 302.78 : x
  2. Step 2: Convert to fraction form
    1,033.40/1,549.74 = 302.78/x
  3. Step 3: Cross multiply
    1,033.40x = 1,549.74 × 302.78
  4. Step 4: Simplify right side
    1,033.40x = 469,230.28
  5. Step 5: Solve for x
    x = 469,230.28/1,033.40
  6. Step 6: Final answer
    x = 454.06

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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.