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Finding the Fourth Proportional to 1,269.93, 1,752.72 and 939.31

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Solution

The fourth proportional to 1,269.93, 1,752.72 and 939.31 is: 1,296.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.93 : 1,752.72 = 939.31 : x
  2. Step 2: Convert to fraction form
    1,269.93/1,752.72 = 939.31/x
  3. Step 3: Cross multiply
    1,269.93x = 1,752.72 × 939.31
  4. Step 4: Simplify right side
    1,269.93x = 1,646,347.42
  5. Step 5: Solve for x
    x = 1,646,347.42/1,269.93
  6. Step 6: Final answer
    x = 1,296.41

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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.