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Finding the Fourth Proportional to 705.27, 1,053.02 and 661.53

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Solution

The fourth proportional to 705.27, 1,053.02 and 661.53 is: 987.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.27 : 1,053.02 = 661.53 : x
  2. Step 2: Convert to fraction form
    705.27/1,053.02 = 661.53/x
  3. Step 3: Cross multiply
    705.27x = 1,053.02 × 661.53
  4. Step 4: Simplify right side
    705.27x = 696,601.01
  5. Step 5: Solve for x
    x = 696,601.01/705.27
  6. Step 6: Final answer
    x = 987.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.