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Finding the Fourth Proportional to 915.36, 1,261.44 and 817.44

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Solution

The fourth proportional to 915.36, 1,261.44 and 817.44 is: 1,126.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.36 : 1,261.44 = 817.44 : x
  2. Step 2: Convert to fraction form
    915.36/1,261.44 = 817.44/x
  3. Step 3: Cross multiply
    915.36x = 1,261.44 × 817.44
  4. Step 4: Simplify right side
    915.36x = 1,031,151.51
  5. Step 5: Solve for x
    x = 1,031,151.51/915.36
  6. Step 6: Final answer
    x = 1,126.50

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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.