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Finding the Fourth Proportional to 1,096.40, 1,642.88 and 547.43

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Solution

The fourth proportional to 1,096.40, 1,642.88 and 547.43 is: 820.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.40 : 1,642.88 = 547.43 : x
  2. Step 2: Convert to fraction form
    1,096.40/1,642.88 = 547.43/x
  3. Step 3: Cross multiply
    1,096.40x = 1,642.88 × 547.43
  4. Step 4: Simplify right side
    1,096.40x = 899,354.95
  5. Step 5: Solve for x
    x = 899,354.95/1,096.40
  6. Step 6: Final answer
    x = 820.28

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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.