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Finding the Fourth Proportional to 1,164.10, 1,744.67 and 546.44

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Solution

The fourth proportional to 1,164.10, 1,744.67 and 546.44 is: 818.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.10 : 1,744.67 = 546.44 : x
  2. Step 2: Convert to fraction form
    1,164.10/1,744.67 = 546.44/x
  3. Step 3: Cross multiply
    1,164.10x = 1,744.67 × 546.44
  4. Step 4: Simplify right side
    1,164.10x = 953,354.74
  5. Step 5: Solve for x
    x = 953,354.74/1,164.10
  6. Step 6: Final answer
    x = 818.96

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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.