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Finding the Fourth Proportional to 769.80, 1,152.56 and 538.16

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Solution

The fourth proportional to 769.80, 1,152.56 and 538.16 is: 805.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.80 : 1,152.56 = 538.16 : x
  2. Step 2: Convert to fraction form
    769.80/1,152.56 = 538.16/x
  3. Step 3: Cross multiply
    769.80x = 1,152.56 × 538.16
  4. Step 4: Simplify right side
    769.80x = 620,261.69
  5. Step 5: Solve for x
    x = 620,261.69/769.80
  6. Step 6: Final answer
    x = 805.74

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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.