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Finding the Fourth Proportional to 1,008.33, 1,512.13 and 546.45

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Solution

The fourth proportional to 1,008.33, 1,512.13 and 546.45 is: 819.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.33 : 1,512.13 = 546.45 : x
  2. Step 2: Convert to fraction form
    1,008.33/1,512.13 = 546.45/x
  3. Step 3: Cross multiply
    1,008.33x = 1,512.13 × 546.45
  4. Step 4: Simplify right side
    1,008.33x = 826,303.44
  5. Step 5: Solve for x
    x = 826,303.44/1,008.33
  6. Step 6: Final answer
    x = 819.48

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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.