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Finding the Fourth Proportional to 1,237.14, 1,707.30 and 971.91

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Solution

The fourth proportional to 1,237.14, 1,707.30 and 971.91 is: 1,341.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.14 : 1,707.30 = 971.91 : x
  2. Step 2: Convert to fraction form
    1,237.14/1,707.30 = 971.91/x
  3. Step 3: Cross multiply
    1,237.14x = 1,707.30 × 971.91
  4. Step 4: Simplify right side
    1,237.14x = 1,659,341.94
  5. Step 5: Solve for x
    x = 1,659,341.94/1,237.14
  6. Step 6: Final answer
    x = 1,341.27

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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.