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Finding the Fourth Proportional to 927.07, 1,389.80 and 378.90

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Solution

The fourth proportional to 927.07, 1,389.80 and 378.90 is: 568.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.07 : 1,389.80 = 378.90 : x
  2. Step 2: Convert to fraction form
    927.07/1,389.80 = 378.90/x
  3. Step 3: Cross multiply
    927.07x = 1,389.80 × 378.90
  4. Step 4: Simplify right side
    927.07x = 526,595.22
  5. Step 5: Solve for x
    x = 526,595.22/927.07
  6. Step 6: Final answer
    x = 568.02

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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.