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Finding the Fourth Proportional to 942.63, 1,300.83 and 523.05

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Solution

The fourth proportional to 942.63, 1,300.83 and 523.05 is: 721.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.63 : 1,300.83 = 523.05 : x
  2. Step 2: Convert to fraction form
    942.63/1,300.83 = 523.05/x
  3. Step 3: Cross multiply
    942.63x = 1,300.83 × 523.05
  4. Step 4: Simplify right side
    942.63x = 680,393.60
  5. Step 5: Solve for x
    x = 680,393.60/942.63
  6. Step 6: Final answer
    x = 721.80

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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.