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Finding the Fourth Proportional to 946.00, 1,305.05 and 552.85

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Solution

The fourth proportional to 946.00, 1,305.05 and 552.85 is: 762.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.00 : 1,305.05 = 552.85 : x
  2. Step 2: Convert to fraction form
    946.00/1,305.05 = 552.85/x
  3. Step 3: Cross multiply
    946.00x = 1,305.05 × 552.85
  4. Step 4: Simplify right side
    946.00x = 721,490.37
  5. Step 5: Solve for x
    x = 721,490.37/946.00
  6. Step 6: Final answer
    x = 762.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.