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Finding the Fourth Proportional to 1,003.32, 1,504.02 and 547

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Solution

The fourth proportional to 1,003.32, 1,504.02 and 547 is: 819.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.32 : 1,504.02 = 547 : x
  2. Step 2: Convert to fraction form
    1,003.32/1,504.02 = 547/x
  3. Step 3: Cross multiply
    1,003.32x = 1,504.02 × 547
  4. Step 4: Simplify right side
    1,003.32x = 822,698.94
  5. Step 5: Solve for x
    x = 822,698.94/1,003.32
  6. Step 6: Final answer
    x = 819.98

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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.