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Finding the Fourth Proportional to 1,096.17, 1,645.12 and 576.47

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Solution

The fourth proportional to 1,096.17, 1,645.12 and 576.47 is: 865.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.17 : 1,645.12 = 576.47 : x
  2. Step 2: Convert to fraction form
    1,096.17/1,645.12 = 576.47/x
  3. Step 3: Cross multiply
    1,096.17x = 1,645.12 × 576.47
  4. Step 4: Simplify right side
    1,096.17x = 948,362.33
  5. Step 5: Solve for x
    x = 948,362.33/1,096.17
  6. Step 6: Final answer
    x = 865.16

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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.