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Finding the Fourth Proportional to 946.23, 1,305.81 and 573.12

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Solution

The fourth proportional to 946.23, 1,305.81 and 573.12 is: 790.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.23 : 1,305.81 = 573.12 : x
  2. Step 2: Convert to fraction form
    946.23/1,305.81 = 573.12/x
  3. Step 3: Cross multiply
    946.23x = 1,305.81 × 573.12
  4. Step 4: Simplify right side
    946.23x = 748,385.83
  5. Step 5: Solve for x
    x = 748,385.83/946.23
  6. Step 6: Final answer
    x = 790.91

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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.