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Finding the Fourth Proportional to 1,096.28, 1,513.32 and 816.02

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Solution

The fourth proportional to 1,096.28, 1,513.32 and 816.02 is: 1,126.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.28 : 1,513.32 = 816.02 : x
  2. Step 2: Convert to fraction form
    1,096.28/1,513.32 = 816.02/x
  3. Step 3: Cross multiply
    1,096.28x = 1,513.32 × 816.02
  4. Step 4: Simplify right side
    1,096.28x = 1,234,899.39
  5. Step 5: Solve for x
    x = 1,234,899.39/1,096.28
  6. Step 6: Final answer
    x = 1,126.45

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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.