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Finding the Fourth Proportional to 1,030.92, 1,546.37 and 300.57

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Solution

The fourth proportional to 1,030.92, 1,546.37 and 300.57 is: 450.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.92 : 1,546.37 = 300.57 : x
  2. Step 2: Convert to fraction form
    1,030.92/1,546.37 = 300.57/x
  3. Step 3: Cross multiply
    1,030.92x = 1,546.37 × 300.57
  4. Step 4: Simplify right side
    1,030.92x = 464,792.43
  5. Step 5: Solve for x
    x = 464,792.43/1,030.92
  6. Step 6: Final answer
    x = 450.85

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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.