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Finding the Fourth Proportional to 1,168.95, 1,613.15 and 637.83

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Solution

The fourth proportional to 1,168.95, 1,613.15 and 637.83 is: 880.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.95 : 1,613.15 = 637.83 : x
  2. Step 2: Convert to fraction form
    1,168.95/1,613.15 = 637.83/x
  3. Step 3: Cross multiply
    1,168.95x = 1,613.15 × 637.83
  4. Step 4: Simplify right side
    1,168.95x = 1,028,915.46
  5. Step 5: Solve for x
    x = 1,028,915.46/1,168.95
  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.