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Finding the Fourth Proportional to 915.57, 1,370.64 and 821.73

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Solution

The fourth proportional to 915.57, 1,370.64 and 821.73 is: 1,230.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.57 : 1,370.64 = 821.73 : x
  2. Step 2: Convert to fraction form
    915.57/1,370.64 = 821.73/x
  3. Step 3: Cross multiply
    915.57x = 1,370.64 × 821.73
  4. Step 4: Simplify right side
    915.57x = 1,126,296.01
  5. Step 5: Solve for x
    x = 1,126,296.01/915.57
  6. Step 6: Final answer
    x = 1,230.16

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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.