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Finding the Fourth Proportional to 1,097.10, 1,512.27 and 816.89

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Solution

The fourth proportional to 1,097.10, 1,512.27 and 816.89 is: 1,126.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.10 : 1,512.27 = 816.89 : x
  2. Step 2: Convert to fraction form
    1,097.10/1,512.27 = 816.89/x
  3. Step 3: Cross multiply
    1,097.10x = 1,512.27 × 816.89
  4. Step 4: Simplify right side
    1,097.10x = 1,235,350.68
  5. Step 5: Solve for x
    x = 1,235,350.68/1,097.10
  6. Step 6: Final answer
    x = 1,126.01

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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.