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Finding the Fourth Proportional to 743.18, 1,114.16 and 378.41

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Solution

The fourth proportional to 743.18, 1,114.16 and 378.41 is: 567.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.18 : 1,114.16 = 378.41 : x
  2. Step 2: Convert to fraction form
    743.18/1,114.16 = 378.41/x
  3. Step 3: Cross multiply
    743.18x = 1,114.16 × 378.41
  4. Step 4: Simplify right side
    743.18x = 421,601.82
  5. Step 5: Solve for x
    x = 421,601.82/743.18
  6. Step 6: Final answer
    x = 567.30

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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.