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Finding the Fourth Proportional to 915.48, 1,375.02 and 785.43

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Solution

The fourth proportional to 915.48, 1,375.02 and 785.43 is: 1,179.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.48 : 1,375.02 = 785.43 : x
  2. Step 2: Convert to fraction form
    915.48/1,375.02 = 785.43/x
  3. Step 3: Cross multiply
    915.48x = 1,375.02 × 785.43
  4. Step 4: Simplify right side
    915.48x = 1,079,981.96
  5. Step 5: Solve for x
    x = 1,079,981.96/915.48
  6. Step 6: Final answer
    x = 1,179.69

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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.