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Finding the Fourth Proportional to 945.70, 1,418.70 and 477.62

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Solution

The fourth proportional to 945.70, 1,418.70 and 477.62 is: 716.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.70 : 1,418.70 = 477.62 : x
  2. Step 2: Convert to fraction form
    945.70/1,418.70 = 477.62/x
  3. Step 3: Cross multiply
    945.70x = 1,418.70 × 477.62
  4. Step 4: Simplify right side
    945.70x = 677,599.49
  5. Step 5: Solve for x
    x = 677,599.49/945.70
  6. Step 6: Final answer
    x = 716.51

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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.