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Finding the Fourth Proportional to 1,237.14, 1,707.47 and 923.97

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Solution

The fourth proportional to 1,237.14, 1,707.47 and 923.97 is: 1,275.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.14 : 1,707.47 = 923.97 : x
  2. Step 2: Convert to fraction form
    1,237.14/1,707.47 = 923.97/x
  3. Step 3: Cross multiply
    1,237.14x = 1,707.47 × 923.97
  4. Step 4: Simplify right side
    1,237.14x = 1,577,651.06
  5. Step 5: Solve for x
    x = 1,577,651.06/1,237.14
  6. Step 6: Final answer
    x = 1,275.24

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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.