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Finding the Fourth Proportional to 968.34, 1,451.43 and 419.70

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Solution

The fourth proportional to 968.34, 1,451.43 and 419.70 is: 629.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.34 : 1,451.43 = 419.70 : x
  2. Step 2: Convert to fraction form
    968.34/1,451.43 = 419.70/x
  3. Step 3: Cross multiply
    968.34x = 1,451.43 × 419.70
  4. Step 4: Simplify right side
    968.34x = 609,165.17
  5. Step 5: Solve for x
    x = 609,165.17/968.34
  6. Step 6: Final answer
    x = 629.08

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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.