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Finding the Fourth Proportional to 1,033.12, 1,549.90 and 546.05

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Solution

The fourth proportional to 1,033.12, 1,549.90 and 546.05 is: 819.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.12 : 1,549.90 = 546.05 : x
  2. Step 2: Convert to fraction form
    1,033.12/1,549.90 = 546.05/x
  3. Step 3: Cross multiply
    1,033.12x = 1,549.90 × 546.05
  4. Step 4: Simplify right side
    1,033.12x = 846,327.45
  5. Step 5: Solve for x
    x = 846,327.45/1,033.12
  6. Step 6: Final answer
    x = 819.19

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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.