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Finding the Fourth Proportional to 769.79, 1,152.33 and 622.17

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Solution

The fourth proportional to 769.79, 1,152.33 and 622.17 is: 931.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.79 : 1,152.33 = 622.17 : x
  2. Step 2: Convert to fraction form
    769.79/1,152.33 = 622.17/x
  3. Step 3: Cross multiply
    769.79x = 1,152.33 × 622.17
  4. Step 4: Simplify right side
    769.79x = 716,945.16
  5. Step 5: Solve for x
    x = 716,945.16/769.79
  6. Step 6: Final answer
    x = 931.35

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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.