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Finding the Fourth Proportional to 945.22, 1,419.24 and 816.24

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Solution

The fourth proportional to 945.22, 1,419.24 and 816.24 is: 1,225.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.22 : 1,419.24 = 816.24 : x
  2. Step 2: Convert to fraction form
    945.22/1,419.24 = 816.24/x
  3. Step 3: Cross multiply
    945.22x = 1,419.24 × 816.24
  4. Step 4: Simplify right side
    945.22x = 1,158,440.46
  5. Step 5: Solve for x
    x = 1,158,440.46/945.22
  6. Step 6: Final answer
    x = 1,225.58

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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.