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Finding the Fourth Proportional to 892.86, 1,338.95 and 430.52

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Solution

The fourth proportional to 892.86, 1,338.95 and 430.52 is: 645.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.86 : 1,338.95 = 430.52 : x
  2. Step 2: Convert to fraction form
    892.86/1,338.95 = 430.52/x
  3. Step 3: Cross multiply
    892.86x = 1,338.95 × 430.52
  4. Step 4: Simplify right side
    892.86x = 576,435.91
  5. Step 5: Solve for x
    x = 576,435.91/892.86
  6. Step 6: Final answer
    x = 645.61

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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.