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Finding the Fourth Proportional to 968.95, 1,453.14 and 421

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Solution

The fourth proportional to 968.95, 1,453.14 and 421 is: 631.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.95 : 1,453.14 = 421 : x
  2. Step 2: Convert to fraction form
    968.95/1,453.14 = 421/x
  3. Step 3: Cross multiply
    968.95x = 1,453.14 × 421
  4. Step 4: Simplify right side
    968.95x = 611,771.94
  5. Step 5: Solve for x
    x = 611,771.94/968.95
  6. Step 6: Final answer
    x = 631.38

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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.