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Finding the Fourth Proportional to 927.74, 1,390.59 and 562.43

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Solution

The fourth proportional to 927.74, 1,390.59 and 562.43 is: 843.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.74 : 1,390.59 = 562.43 : x
  2. Step 2: Convert to fraction form
    927.74/1,390.59 = 562.43/x
  3. Step 3: Cross multiply
    927.74x = 1,390.59 × 562.43
  4. Step 4: Simplify right side
    927.74x = 782,102.58
  5. Step 5: Solve for x
    x = 782,102.58/927.74
  6. Step 6: Final answer
    x = 843.02

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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.