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Finding the Fourth Proportional to 915.82, 1,369.68 and 813.76

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Solution

The fourth proportional to 915.82, 1,369.68 and 813.76 is: 1,217.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.82 : 1,369.68 = 813.76 : x
  2. Step 2: Convert to fraction form
    915.82/1,369.68 = 813.76/x
  3. Step 3: Cross multiply
    915.82x = 1,369.68 × 813.76
  4. Step 4: Simplify right side
    915.82x = 1,114,590.80
  5. Step 5: Solve for x
    x = 1,114,590.80/915.82
  6. Step 6: Final answer
    x = 1,217.04

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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.