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Finding the Fourth Proportional to 909.52, 1,364.20 and 546.62

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Solution

The fourth proportional to 909.52, 1,364.20 and 546.62 is: 819.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.52 : 1,364.20 = 546.62 : x
  2. Step 2: Convert to fraction form
    909.52/1,364.20 = 546.62/x
  3. Step 3: Cross multiply
    909.52x = 1,364.20 × 546.62
  4. Step 4: Simplify right side
    909.52x = 745,690.82
  5. Step 5: Solve for x
    x = 745,690.82/909.52
  6. Step 6: Final answer
    x = 819.88

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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.