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Finding the Fourth Proportional to 1,168.94, 1,613.15 and 637.82

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Solution

The fourth proportional to 1,168.94, 1,613.15 and 637.82 is: 880.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.94 : 1,613.15 = 637.82 : x
  2. Step 2: Convert to fraction form
    1,168.94/1,613.15 = 637.82/x
  3. Step 3: Cross multiply
    1,168.94x = 1,613.15 × 637.82
  4. Step 4: Simplify right side
    1,168.94x = 1,028,899.33
  5. Step 5: Solve for x
    x = 1,028,899.33/1,168.94
  6. Step 6: Final answer
    x = 880.20

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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.