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Finding the Fourth Proportional to 1,293.02, 1,939.34 and 552.73

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Solution

The fourth proportional to 1,293.02, 1,939.34 and 552.73 is: 829.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.02 : 1,939.34 = 552.73 : x
  2. Step 2: Convert to fraction form
    1,293.02/1,939.34 = 552.73/x
  3. Step 3: Cross multiply
    1,293.02x = 1,939.34 × 552.73
  4. Step 4: Simplify right side
    1,293.02x = 1,071,927.93
  5. Step 5: Solve for x
    x = 1,071,927.93/1,293.02
  6. Step 6: Final answer
    x = 829.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.