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Finding the Fourth Proportional to 1,210.43, 1,669.81 and 767.56

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Solution

The fourth proportional to 1,210.43, 1,669.81 and 767.56 is: 1,058.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.43 : 1,669.81 = 767.56 : x
  2. Step 2: Convert to fraction form
    1,210.43/1,669.81 = 767.56/x
  3. Step 3: Cross multiply
    1,210.43x = 1,669.81 × 767.56
  4. Step 4: Simplify right side
    1,210.43x = 1,281,667.18
  5. Step 5: Solve for x
    x = 1,281,667.18/1,210.43
  6. Step 6: Final answer
    x = 1,058.86

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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.