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Finding the Fourth Proportional to 922.86, 1,273.73 and 591.71

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Solution

The fourth proportional to 922.86, 1,273.73 and 591.71 is: 816.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.86 : 1,273.73 = 591.71 : x
  2. Step 2: Convert to fraction form
    922.86/1,273.73 = 591.71/x
  3. Step 3: Cross multiply
    922.86x = 1,273.73 × 591.71
  4. Step 4: Simplify right side
    922.86x = 753,669.45
  5. Step 5: Solve for x
    x = 753,669.45/922.86
  6. Step 6: Final answer
    x = 816.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.