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Finding the Fourth Proportional to 1,007.94, 1,512.45 and 546.24

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Solution

The fourth proportional to 1,007.94, 1,512.45 and 546.24 is: 819.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.94 : 1,512.45 = 546.24 : x
  2. Step 2: Convert to fraction form
    1,007.94/1,512.45 = 546.24/x
  3. Step 3: Cross multiply
    1,007.94x = 1,512.45 × 546.24
  4. Step 4: Simplify right side
    1,007.94x = 826,160.69
  5. Step 5: Solve for x
    x = 826,160.69/1,007.94
  6. Step 6: Final answer
    x = 819.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.