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Finding the Fourth Proportional to 942.10, 1,297.41 and 679.70

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Solution

The fourth proportional to 942.10, 1,297.41 and 679.70 is: 936.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.10 : 1,297.41 = 679.70 : x
  2. Step 2: Convert to fraction form
    942.10/1,297.41 = 679.70/x
  3. Step 3: Cross multiply
    942.10x = 1,297.41 × 679.70
  4. Step 4: Simplify right side
    942.10x = 881,849.58
  5. Step 5: Solve for x
    x = 881,849.58/942.10
  6. Step 6: Final answer
    x = 936.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.