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Finding the Fourth Proportional to 1,293.47, 1,939.55 and 552.89

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Solution

The fourth proportional to 1,293.47, 1,939.55 and 552.89 is: 829.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.47 : 1,939.55 = 552.89 : x
  2. Step 2: Convert to fraction form
    1,293.47/1,939.55 = 552.89/x
  3. Step 3: Cross multiply
    1,293.47x = 1,939.55 × 552.89
  4. Step 4: Simplify right side
    1,293.47x = 1,072,359.88
  5. Step 5: Solve for x
    x = 1,072,359.88/1,293.47
  6. Step 6: Final answer
    x = 829.06

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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.