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Finding the Fourth Proportional to 896.40, 1,342.92 and 714

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Solution

The fourth proportional to 896.40, 1,342.92 and 714 is: 1,069.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.40 : 1,342.92 = 714 : x
  2. Step 2: Convert to fraction form
    896.40/1,342.92 = 714/x
  3. Step 3: Cross multiply
    896.40x = 1,342.92 × 714
  4. Step 4: Simplify right side
    896.40x = 958,844.88
  5. Step 5: Solve for x
    x = 958,844.88/896.40
  6. Step 6: Final answer
    x = 1,069.66

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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.