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Finding the Fourth Proportional to 1,057.05, 1,586.21 and 691.38

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Solution

The fourth proportional to 1,057.05, 1,586.21 and 691.38 is: 1,037.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.05 : 1,586.21 = 691.38 : x
  2. Step 2: Convert to fraction form
    1,057.05/1,586.21 = 691.38/x
  3. Step 3: Cross multiply
    1,057.05x = 1,586.21 × 691.38
  4. Step 4: Simplify right side
    1,057.05x = 1,096,670.41
  5. Step 5: Solve for x
    x = 1,096,670.41/1,057.05
  6. Step 6: Final answer
    x = 1,037.48

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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.