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Finding the Fourth Proportional to 945.19, 1,417.23 and 633.19

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Solution

The fourth proportional to 945.19, 1,417.23 and 633.19 is: 949.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.19 : 1,417.23 = 633.19 : x
  2. Step 2: Convert to fraction form
    945.19/1,417.23 = 633.19/x
  3. Step 3: Cross multiply
    945.19x = 1,417.23 × 633.19
  4. Step 4: Simplify right side
    945.19x = 897,375.86
  5. Step 5: Solve for x
    x = 897,375.86/945.19
  6. Step 6: Final answer
    x = 949.41

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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.