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Finding the Fourth Proportional to 1,062.05, 1,589.74 and 670.70

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Solution

The fourth proportional to 1,062.05, 1,589.74 and 670.70 is: 1,003.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.05 : 1,589.74 = 670.70 : x
  2. Step 2: Convert to fraction form
    1,062.05/1,589.74 = 670.70/x
  3. Step 3: Cross multiply
    1,062.05x = 1,589.74 × 670.70
  4. Step 4: Simplify right side
    1,062.05x = 1,066,238.62
  5. Step 5: Solve for x
    x = 1,066,238.62/1,062.05
  6. Step 6: Final answer
    x = 1,003.94

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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.