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Finding the Fourth Proportional to 1,186.80, 1,637.52 and 926.76

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Solution

The fourth proportional to 1,186.80, 1,637.52 and 926.76 is: 1,278.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.80 : 1,637.52 = 926.76 : x
  2. Step 2: Convert to fraction form
    1,186.80/1,637.52 = 926.76/x
  3. Step 3: Cross multiply
    1,186.80x = 1,637.52 × 926.76
  4. Step 4: Simplify right side
    1,186.80x = 1,517,588.04
  5. Step 5: Solve for x
    x = 1,517,588.04/1,186.80
  6. Step 6: Final answer
    x = 1,278.72

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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.