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Finding the Fourth Proportional to 968.78, 1,336.83 and 675.02

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Solution

The fourth proportional to 968.78, 1,336.83 and 675.02 is: 931.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.78 : 1,336.83 = 675.02 : x
  2. Step 2: Convert to fraction form
    968.78/1,336.83 = 675.02/x
  3. Step 3: Cross multiply
    968.78x = 1,336.83 × 675.02
  4. Step 4: Simplify right side
    968.78x = 902,386.99
  5. Step 5: Solve for x
    x = 902,386.99/968.78
  6. Step 6: Final answer
    x = 931.47

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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.