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Finding the Fourth Proportional to 743.20, 1,114.66 and 378.24

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Solution

The fourth proportional to 743.20, 1,114.66 and 378.24 is: 567.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.20 : 1,114.66 = 378.24 : x
  2. Step 2: Convert to fraction form
    743.20/1,114.66 = 378.24/x
  3. Step 3: Cross multiply
    743.20x = 1,114.66 × 378.24
  4. Step 4: Simplify right side
    743.20x = 421,609.00
  5. Step 5: Solve for x
    x = 421,609.00/743.20
  6. Step 6: Final answer
    x = 567.29

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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.