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Finding the Fourth Proportional to 1,008.29, 1,504.94 and 868.86

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Solution

The fourth proportional to 1,008.29, 1,504.94 and 868.86 is: 1,296.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.29 : 1,504.94 = 868.86 : x
  2. Step 2: Convert to fraction form
    1,008.29/1,504.94 = 868.86/x
  3. Step 3: Cross multiply
    1,008.29x = 1,504.94 × 868.86
  4. Step 4: Simplify right side
    1,008.29x = 1,307,584.34
  5. Step 5: Solve for x
    x = 1,307,584.34/1,008.29
  6. Step 6: Final answer
    x = 1,296.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.