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Finding the Fourth Proportional to 748.76, 1,026.69 and 674.78

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Solution

The fourth proportional to 748.76, 1,026.69 and 674.78 is: 925.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.76 : 1,026.69 = 674.78 : x
  2. Step 2: Convert to fraction form
    748.76/1,026.69 = 674.78/x
  3. Step 3: Cross multiply
    748.76x = 1,026.69 × 674.78
  4. Step 4: Simplify right side
    748.76x = 692,786.50
  5. Step 5: Solve for x
    x = 692,786.50/748.76
  6. Step 6: Final answer
    x = 925.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.