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Finding the Fourth Proportional to 915.75, 1,260.09 and 890.24

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Solution

The fourth proportional to 915.75, 1,260.09 and 890.24 is: 1,224.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.75 : 1,260.09 = 890.24 : x
  2. Step 2: Convert to fraction form
    915.75/1,260.09 = 890.24/x
  3. Step 3: Cross multiply
    915.75x = 1,260.09 × 890.24
  4. Step 4: Simplify right side
    915.75x = 1,121,776.22
  5. Step 5: Solve for x
    x = 1,121,776.22/915.75
  6. Step 6: Final answer
    x = 1,224.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.