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Finding the Fourth Proportional to 968.34, 1,453.14 and 391.08

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Solution

The fourth proportional to 968.34, 1,453.14 and 391.08 is: 586.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.34 : 1,453.14 = 391.08 : x
  2. Step 2: Convert to fraction form
    968.34/1,453.14 = 391.08/x
  3. Step 3: Cross multiply
    968.34x = 1,453.14 × 391.08
  4. Step 4: Simplify right side
    968.34x = 568,293.99
  5. Step 5: Solve for x
    x = 568,293.99/968.34
  6. Step 6: Final answer
    x = 586.87

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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.