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Finding the Fourth Proportional to 926.75, 1,390.49 and 378.96

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Solution

The fourth proportional to 926.75, 1,390.49 and 378.96 is: 568.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.75 : 1,390.49 = 378.96 : x
  2. Step 2: Convert to fraction form
    926.75/1,390.49 = 378.96/x
  3. Step 3: Cross multiply
    926.75x = 1,390.49 × 378.96
  4. Step 4: Simplify right side
    926.75x = 526,938.20
  5. Step 5: Solve for x
    x = 526,938.20/926.75
  6. Step 6: Final answer
    x = 568.59

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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.