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Finding the Fourth Proportional to 968.58, 1,453.32 and 708.84

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Solution

The fourth proportional to 968.58, 1,453.32 and 708.84 is: 1,063.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.58 : 1,453.32 = 708.84 : x
  2. Step 2: Convert to fraction form
    968.58/1,453.32 = 708.84/x
  3. Step 3: Cross multiply
    968.58x = 1,453.32 × 708.84
  4. Step 4: Simplify right side
    968.58x = 1,030,171.35
  5. Step 5: Solve for x
    x = 1,030,171.35/968.58
  6. Step 6: Final answer
    x = 1,063.59

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Why These Related Problems?

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