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Finding the Fourth Proportional to 1,026.56, 1,415.97 and 816.41

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Solution

The fourth proportional to 1,026.56, 1,415.97 and 816.41 is: 1,126.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.56 : 1,415.97 = 816.41 : x
  2. Step 2: Convert to fraction form
    1,026.56/1,415.97 = 816.41/x
  3. Step 3: Cross multiply
    1,026.56x = 1,415.97 × 816.41
  4. Step 4: Simplify right side
    1,026.56x = 1,156,004.99
  5. Step 5: Solve for x
    x = 1,156,004.99/1,026.56
  6. Step 6: Final answer
    x = 1,126.10

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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.