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Finding the Fourth Proportional to 740.92, 1,022.70 and 716.60

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Solution

The fourth proportional to 740.92, 1,022.70 and 716.60 is: 989.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.92 : 1,022.70 = 716.60 : x
  2. Step 2: Convert to fraction form
    740.92/1,022.70 = 716.60/x
  3. Step 3: Cross multiply
    740.92x = 1,022.70 × 716.60
  4. Step 4: Simplify right side
    740.92x = 732,866.82
  5. Step 5: Solve for x
    x = 732,866.82/740.92
  6. Step 6: Final answer
    x = 989.13

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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.