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Finding the Fourth Proportional to 1,033.94, 1,549.65 and 546.68

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Solution

The fourth proportional to 1,033.94, 1,549.65 and 546.68 is: 819.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.94 : 1,549.65 = 546.68 : x
  2. Step 2: Convert to fraction form
    1,033.94/1,549.65 = 546.68/x
  3. Step 3: Cross multiply
    1,033.94x = 1,549.65 × 546.68
  4. Step 4: Simplify right side
    1,033.94x = 847,162.66
  5. Step 5: Solve for x
    x = 847,162.66/1,033.94
  6. Step 6: Final answer
    x = 819.35

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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.