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Finding the Fourth Proportional to 857.51, 1,182.32 and 724.49

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Solution

The fourth proportional to 857.51, 1,182.32 and 724.49 is: 998.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.51 : 1,182.32 = 724.49 : x
  2. Step 2: Convert to fraction form
    857.51/1,182.32 = 724.49/x
  3. Step 3: Cross multiply
    857.51x = 1,182.32 × 724.49
  4. Step 4: Simplify right side
    857.51x = 856,585.32
  5. Step 5: Solve for x
    x = 856,585.32/857.51
  6. Step 6: Final answer
    x = 998.92

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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.