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Finding the Fourth Proportional to 915.91, 1,371.27 and 829.40

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Solution

The fourth proportional to 915.91, 1,371.27 and 829.40 is: 1,241.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.91 : 1,371.27 = 829.40 : x
  2. Step 2: Convert to fraction form
    915.91/1,371.27 = 829.40/x
  3. Step 3: Cross multiply
    915.91x = 1,371.27 × 829.40
  4. Step 4: Simplify right side
    915.91x = 1,137,334.77
  5. Step 5: Solve for x
    x = 1,137,334.77/915.91
  6. Step 6: Final answer
    x = 1,241.76

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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.