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Finding the Fourth Proportional to 926.23, 1,388.83 and 378.80

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Solution

The fourth proportional to 926.23, 1,388.83 and 378.80 is: 567.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.23 : 1,388.83 = 378.80 : x
  2. Step 2: Convert to fraction form
    926.23/1,388.83 = 378.80/x
  3. Step 3: Cross multiply
    926.23x = 1,388.83 × 378.80
  4. Step 4: Simplify right side
    926.23x = 526,082.35
  5. Step 5: Solve for x
    x = 526,082.35/926.23
  6. Step 6: Final answer
    x = 567.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.