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Finding the Fourth Proportional to 1,217.64, 1,827.33 and 826.71

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Solution

The fourth proportional to 1,217.64, 1,827.33 and 826.71 is: 1,240.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.64 : 1,827.33 = 826.71 : x
  2. Step 2: Convert to fraction form
    1,217.64/1,827.33 = 826.71/x
  3. Step 3: Cross multiply
    1,217.64x = 1,827.33 × 826.71
  4. Step 4: Simplify right side
    1,217.64x = 1,510,671.98
  5. Step 5: Solve for x
    x = 1,510,671.98/1,217.64
  6. Step 6: Final answer
    x = 1,240.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.