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Finding the Fourth Proportional to 1,288.17, 1,939.77 and 925.47

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Solution

The fourth proportional to 1,288.17, 1,939.77 and 925.47 is: 1,393.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.17 : 1,939.77 = 925.47 : x
  2. Step 2: Convert to fraction form
    1,288.17/1,939.77 = 925.47/x
  3. Step 3: Cross multiply
    1,288.17x = 1,939.77 × 925.47
  4. Step 4: Simplify right side
    1,288.17x = 1,795,198.94
  5. Step 5: Solve for x
    x = 1,795,198.94/1,288.17
  6. Step 6: Final answer
    x = 1,393.60

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.