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Finding the Fourth Proportional to 968.56, 1,454.04 and 708.56

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Solution

The fourth proportional to 968.56, 1,454.04 and 708.56 is: 1,063.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.56 : 1,454.04 = 708.56 : x
  2. Step 2: Convert to fraction form
    968.56/1,454.04 = 708.56/x
  3. Step 3: Cross multiply
    968.56x = 1,454.04 × 708.56
  4. Step 4: Simplify right side
    968.56x = 1,030,274.58
  5. Step 5: Solve for x
    x = 1,030,274.58/968.56
  6. Step 6: Final answer
    x = 1,063.72

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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.