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Finding the Fourth Proportional to 946.37, 1,305.90 and 547.76

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Solution

The fourth proportional to 946.37, 1,305.90 and 547.76 is: 755.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.37 : 1,305.90 = 547.76 : x
  2. Step 2: Convert to fraction form
    946.37/1,305.90 = 547.76/x
  3. Step 3: Cross multiply
    946.37x = 1,305.90 × 547.76
  4. Step 4: Simplify right side
    946.37x = 715,323.05
  5. Step 5: Solve for x
    x = 715,323.05/946.37
  6. Step 6: Final answer
    x = 755.86

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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.