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Finding the Fourth Proportional to 1,032.92, 1,549.56 and 546.38

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Solution

The fourth proportional to 1,032.92, 1,549.56 and 546.38 is: 819.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.92 : 1,549.56 = 546.38 : x
  2. Step 2: Convert to fraction form
    1,032.92/1,549.56 = 546.38/x
  3. Step 3: Cross multiply
    1,032.92x = 1,549.56 × 546.38
  4. Step 4: Simplify right side
    1,032.92x = 846,648.59
  5. Step 5: Solve for x
    x = 846,648.59/1,032.92
  6. Step 6: Final answer
    x = 819.67

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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.