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Finding the Fourth Proportional to 1,184.69, 1,633.16 and 987.86

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Solution

The fourth proportional to 1,184.69, 1,633.16 and 987.86 is: 1,361.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.69 : 1,633.16 = 987.86 : x
  2. Step 2: Convert to fraction form
    1,184.69/1,633.16 = 987.86/x
  3. Step 3: Cross multiply
    1,184.69x = 1,633.16 × 987.86
  4. Step 4: Simplify right side
    1,184.69x = 1,613,339.99
  5. Step 5: Solve for x
    x = 1,613,339.99/1,184.69
  6. Step 6: Final answer
    x = 1,361.82

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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.