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Finding the Fourth Proportional to 968.04, 1,453.05 and 694.62

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Solution

The fourth proportional to 968.04, 1,453.05 and 694.62 is: 1,042.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.04 : 1,453.05 = 694.62 : x
  2. Step 2: Convert to fraction form
    968.04/1,453.05 = 694.62/x
  3. Step 3: Cross multiply
    968.04x = 1,453.05 × 694.62
  4. Step 4: Simplify right side
    968.04x = 1,009,317.59
  5. Step 5: Solve for x
    x = 1,009,317.59/968.04
  6. Step 6: Final answer
    x = 1,042.64

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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.