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Finding the Fourth Proportional to 821.94, 1,135.71 and 657.51

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Solution

The fourth proportional to 821.94, 1,135.71 and 657.51 is: 908.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.94 : 1,135.71 = 657.51 : x
  2. Step 2: Convert to fraction form
    821.94/1,135.71 = 657.51/x
  3. Step 3: Cross multiply
    821.94x = 1,135.71 × 657.51
  4. Step 4: Simplify right side
    821.94x = 746,740.68
  5. Step 5: Solve for x
    x = 746,740.68/821.94
  6. Step 6: Final answer
    x = 908.51

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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.