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Finding the Fourth Proportional to 1,095.69, 1,637.11 and 1,057.41

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Solution

The fourth proportional to 1,095.69, 1,637.11 and 1,057.41 is: 1,579.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.69 : 1,637.11 = 1,057.41 : x
  2. Step 2: Convert to fraction form
    1,095.69/1,637.11 = 1,057.41/x
  3. Step 3: Cross multiply
    1,095.69x = 1,637.11 × 1,057.41
  4. Step 4: Simplify right side
    1,095.69x = 1,731,096.49
  5. Step 5: Solve for x
    x = 1,731,096.49/1,095.69
  6. Step 6: Final answer
    x = 1,579.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.