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Finding the Fourth Proportional to 1,096.47, 1,512.23 and 816.71

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Solution

The fourth proportional to 1,096.47, 1,512.23 and 816.71 is: 1,126.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.47 : 1,512.23 = 816.71 : x
  2. Step 2: Convert to fraction form
    1,096.47/1,512.23 = 816.71/x
  3. Step 3: Cross multiply
    1,096.47x = 1,512.23 × 816.71
  4. Step 4: Simplify right side
    1,096.47x = 1,235,041.72
  5. Step 5: Solve for x
    x = 1,235,041.72/1,096.47
  6. Step 6: Final answer
    x = 1,126.38

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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.