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Finding the Fourth Proportional to 931.82, 1,392.71 and 813.76

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Solution

The fourth proportional to 931.82, 1,392.71 and 813.76 is: 1,216.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.82 : 1,392.71 = 813.76 : x
  2. Step 2: Convert to fraction form
    931.82/1,392.71 = 813.76/x
  3. Step 3: Cross multiply
    931.82x = 1,392.71 × 813.76
  4. Step 4: Simplify right side
    931.82x = 1,133,336.55
  5. Step 5: Solve for x
    x = 1,133,336.55/931.82
  6. Step 6: Final answer
    x = 1,216.26

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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.