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Finding the Fourth Proportional to 926.56, 1,389.84 and 378.64

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Solution

The fourth proportional to 926.56, 1,389.84 and 378.64 is: 567.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.56 : 1,389.84 = 378.64 : x
  2. Step 2: Convert to fraction form
    926.56/1,389.84 = 378.64/x
  3. Step 3: Cross multiply
    926.56x = 1,389.84 × 378.64
  4. Step 4: Simplify right side
    926.56x = 526,249.02
  5. Step 5: Solve for x
    x = 526,249.02/926.56
  6. Step 6: Final answer
    x = 567.96

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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.