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Finding the Fourth Proportional to 1,096.89, 1,646.16 and 542.44

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Solution

The fourth proportional to 1,096.89, 1,646.16 and 542.44 is: 814.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.89 : 1,646.16 = 542.44 : x
  2. Step 2: Convert to fraction form
    1,096.89/1,646.16 = 542.44/x
  3. Step 3: Cross multiply
    1,096.89x = 1,646.16 × 542.44
  4. Step 4: Simplify right side
    1,096.89x = 892,943.03
  5. Step 5: Solve for x
    x = 892,943.03/1,096.89
  6. Step 6: Final answer
    x = 814.07

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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.