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Finding the Fourth Proportional to 1,184.11, 1,634.41 and 686.86

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Solution

The fourth proportional to 1,184.11, 1,634.41 and 686.86 is: 948.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.11 : 1,634.41 = 686.86 : x
  2. Step 2: Convert to fraction form
    1,184.11/1,634.41 = 686.86/x
  3. Step 3: Cross multiply
    1,184.11x = 1,634.41 × 686.86
  4. Step 4: Simplify right side
    1,184.11x = 1,122,607.63
  5. Step 5: Solve for x
    x = 1,122,607.63/1,184.11
  6. Step 6: Final answer
    x = 948.06

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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.