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Finding the Fourth Proportional to 1,094.12, 1,641.96 and 546.56

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Solution

The fourth proportional to 1,094.12, 1,641.96 and 546.56 is: 820.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.12 : 1,641.96 = 546.56 : x
  2. Step 2: Convert to fraction form
    1,094.12/1,641.96 = 546.56/x
  3. Step 3: Cross multiply
    1,094.12x = 1,641.96 × 546.56
  4. Step 4: Simplify right side
    1,094.12x = 897,429.66
  5. Step 5: Solve for x
    x = 897,429.66/1,094.12
  6. Step 6: Final answer
    x = 820.23

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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.