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Finding the Fourth Proportional to 1,066.54, 1,600.20 and 546.78

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Solution

The fourth proportional to 1,066.54, 1,600.20 and 546.78 is: 820.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.54 : 1,600.20 = 546.78 : x
  2. Step 2: Convert to fraction form
    1,066.54/1,600.20 = 546.78/x
  3. Step 3: Cross multiply
    1,066.54x = 1,600.20 × 546.78
  4. Step 4: Simplify right side
    1,066.54x = 874,957.36
  5. Step 5: Solve for x
    x = 874,957.36/1,066.54
  6. Step 6: Final answer
    x = 820.37

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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.