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Finding the Fourth Proportional to 1,204.76, 1,805.78 and 546.52

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Solution

The fourth proportional to 1,204.76, 1,805.78 and 546.52 is: 819.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.76 : 1,805.78 = 546.52 : x
  2. Step 2: Convert to fraction form
    1,204.76/1,805.78 = 546.52/x
  3. Step 3: Cross multiply
    1,204.76x = 1,805.78 × 546.52
  4. Step 4: Simplify right side
    1,204.76x = 986,894.89
  5. Step 5: Solve for x
    x = 986,894.89/1,204.76
  6. Step 6: Final answer
    x = 819.16

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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.