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Finding the Fourth Proportional to 1,057.86, 1,584.97 and 668.45

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Solution

The fourth proportional to 1,057.86, 1,584.97 and 668.45 is: 1,001.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.86 : 1,584.97 = 668.45 : x
  2. Step 2: Convert to fraction form
    1,057.86/1,584.97 = 668.45/x
  3. Step 3: Cross multiply
    1,057.86x = 1,584.97 × 668.45
  4. Step 4: Simplify right side
    1,057.86x = 1,059,475.49
  5. Step 5: Solve for x
    x = 1,059,475.49/1,057.86
  6. Step 6: Final answer
    x = 1,001.53

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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.