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Finding the Fourth Proportional to 968.76, 1,337.28 and 706.68

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Solution

The fourth proportional to 968.76, 1,337.28 and 706.68 is: 975.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.76 : 1,337.28 = 706.68 : x
  2. Step 2: Convert to fraction form
    968.76/1,337.28 = 706.68/x
  3. Step 3: Cross multiply
    968.76x = 1,337.28 × 706.68
  4. Step 4: Simplify right side
    968.76x = 945,029.03
  5. Step 5: Solve for x
    x = 945,029.03/968.76
  6. Step 6: Final answer
    x = 975.50

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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.