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Finding the Fourth Proportional to 1,035.28, 1,551.38 and 816.44

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Solution

The fourth proportional to 1,035.28, 1,551.38 and 816.44 is: 1,223.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.28 : 1,551.38 = 816.44 : x
  2. Step 2: Convert to fraction form
    1,035.28/1,551.38 = 816.44/x
  3. Step 3: Cross multiply
    1,035.28x = 1,551.38 × 816.44
  4. Step 4: Simplify right side
    1,035.28x = 1,266,608.69
  5. Step 5: Solve for x
    x = 1,266,608.69/1,035.28
  6. Step 6: Final answer
    x = 1,223.45

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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.