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Finding the Fourth Proportional to 1,033.42, 1,549.42 and 546.82

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Solution

The fourth proportional to 1,033.42, 1,549.42 and 546.82 is: 819.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.42 : 1,549.42 = 546.82 : x
  2. Step 2: Convert to fraction form
    1,033.42/1,549.42 = 546.82/x
  3. Step 3: Cross multiply
    1,033.42x = 1,549.42 × 546.82
  4. Step 4: Simplify right side
    1,033.42x = 847,253.84
  5. Step 5: Solve for x
    x = 847,253.84/1,033.42
  6. Step 6: Final answer
    x = 819.85

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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.