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Finding the Fourth Proportional to 740.36, 1,022.94 and 646.95

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Solution

The fourth proportional to 740.36, 1,022.94 and 646.95 is: 893.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.36 : 1,022.94 = 646.95 : x
  2. Step 2: Convert to fraction form
    740.36/1,022.94 = 646.95/x
  3. Step 3: Cross multiply
    740.36x = 1,022.94 × 646.95
  4. Step 4: Simplify right side
    740.36x = 661,791.03
  5. Step 5: Solve for x
    x = 661,791.03/740.36
  6. Step 6: Final answer
    x = 893.88

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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.