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Finding the Fourth Proportional to 862.03, 1,294.36 and 760.17

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Solution

The fourth proportional to 862.03, 1,294.36 and 760.17 is: 1,141.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.03 : 1,294.36 = 760.17 : x
  2. Step 2: Convert to fraction form
    862.03/1,294.36 = 760.17/x
  3. Step 3: Cross multiply
    862.03x = 1,294.36 × 760.17
  4. Step 4: Simplify right side
    862.03x = 983,933.64
  5. Step 5: Solve for x
    x = 983,933.64/862.03
  6. Step 6: Final answer
    x = 1,141.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.