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Finding the Fourth Proportional to 769.68, 1,148.10 and 696.72

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Solution

The fourth proportional to 769.68, 1,148.10 and 696.72 is: 1,039.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.68 : 1,148.10 = 696.72 : x
  2. Step 2: Convert to fraction form
    769.68/1,148.10 = 696.72/x
  3. Step 3: Cross multiply
    769.68x = 1,148.10 × 696.72
  4. Step 4: Simplify right side
    769.68x = 799,904.23
  5. Step 5: Solve for x
    x = 799,904.23/769.68
  6. Step 6: Final answer
    x = 1,039.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.