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Finding the Fourth Proportional to 965.68, 1,333.78 and 704.86

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Solution

The fourth proportional to 965.68, 1,333.78 and 704.86 is: 973.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.68 : 1,333.78 = 704.86 : x
  2. Step 2: Convert to fraction form
    965.68/1,333.78 = 704.86/x
  3. Step 3: Cross multiply
    965.68x = 1,333.78 × 704.86
  4. Step 4: Simplify right side
    965.68x = 940,128.17
  5. Step 5: Solve for x
    x = 940,128.17/965.68
  6. Step 6: Final answer
    x = 973.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.