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Finding the Fourth Proportional to 1,092.32, 1,636.66 and 475.10

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Solution

The fourth proportional to 1,092.32, 1,636.66 and 475.10 is: 711.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.32 : 1,636.66 = 475.10 : x
  2. Step 2: Convert to fraction form
    1,092.32/1,636.66 = 475.10/x
  3. Step 3: Cross multiply
    1,092.32x = 1,636.66 × 475.10
  4. Step 4: Simplify right side
    1,092.32x = 777,574.79
  5. Step 5: Solve for x
    x = 777,574.79/1,092.32
  6. Step 6: Final answer
    x = 711.86

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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.