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Finding the Fourth Proportional to 881.41, 1,216.40 and 549.71

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Solution

The fourth proportional to 881.41, 1,216.40 and 549.71 is: 758.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.41 : 1,216.40 = 549.71 : x
  2. Step 2: Convert to fraction form
    881.41/1,216.40 = 549.71/x
  3. Step 3: Cross multiply
    881.41x = 1,216.40 × 549.71
  4. Step 4: Simplify right side
    881.41x = 668,671.81
  5. Step 5: Solve for x
    x = 668,671.81/881.41
  6. Step 6: Final answer
    x = 758.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.