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Finding the Fourth Proportional to 869.75, 1,301.51 and 755.54

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Solution

The fourth proportional to 869.75, 1,301.51 and 755.54 is: 1,130.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.75 : 1,301.51 = 755.54 : x
  2. Step 2: Convert to fraction form
    869.75/1,301.51 = 755.54/x
  3. Step 3: Cross multiply
    869.75x = 1,301.51 × 755.54
  4. Step 4: Simplify right side
    869.75x = 983,338.25
  5. Step 5: Solve for x
    x = 983,338.25/869.75
  6. Step 6: Final answer
    x = 1,130.61

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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.