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Finding the Fourth Proportional to 755.26, 1,129.86 and 653.64

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Solution

The fourth proportional to 755.26, 1,129.86 and 653.64 is: 977.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.26 : 1,129.86 = 653.64 : x
  2. Step 2: Convert to fraction form
    755.26/1,129.86 = 653.64/x
  3. Step 3: Cross multiply
    755.26x = 1,129.86 × 653.64
  4. Step 4: Simplify right side
    755.26x = 738,521.69
  5. Step 5: Solve for x
    x = 738,521.69/755.26
  6. Step 6: Final answer
    x = 977.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.