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Finding the Fourth Proportional to 1,057.99, 1,585.41 and 942.64

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Solution

The fourth proportional to 1,057.99, 1,585.41 and 942.64 is: 1,412.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.99 : 1,585.41 = 942.64 : x
  2. Step 2: Convert to fraction form
    1,057.99/1,585.41 = 942.64/x
  3. Step 3: Cross multiply
    1,057.99x = 1,585.41 × 942.64
  4. Step 4: Simplify right side
    1,057.99x = 1,494,470.88
  5. Step 5: Solve for x
    x = 1,494,470.88/1,057.99
  6. Step 6: Final answer
    x = 1,412.56

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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.