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Finding the Fourth Proportional to 942.73, 1,300.89 and 539.00

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Solution

The fourth proportional to 942.73, 1,300.89 and 539.00 is: 743.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.73 : 1,300.89 = 539.00 : x
  2. Step 2: Convert to fraction form
    942.73/1,300.89 = 539.00/x
  3. Step 3: Cross multiply
    942.73x = 1,300.89 × 539.00
  4. Step 4: Simplify right side
    942.73x = 701,173.21
  5. Step 5: Solve for x
    x = 701,173.21/942.73
  6. Step 6: Final answer
    x = 743.77

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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.