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Finding the Fourth Proportional to 1,094.78, 1,641.36 and 547.22

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Solution

The fourth proportional to 1,094.78, 1,641.36 and 547.22 is: 820.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.78 : 1,641.36 = 547.22 : x
  2. Step 2: Convert to fraction form
    1,094.78/1,641.36 = 547.22/x
  3. Step 3: Cross multiply
    1,094.78x = 1,641.36 × 547.22
  4. Step 4: Simplify right side
    1,094.78x = 898,185.02
  5. Step 5: Solve for x
    x = 898,185.02/1,094.78
  6. Step 6: Final answer
    x = 820.43

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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.