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Finding the Fourth Proportional to 942.48, 1,297.93 and 680.08

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Solution

The fourth proportional to 942.48, 1,297.93 and 680.08 is: 936.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.48 : 1,297.93 = 680.08 : x
  2. Step 2: Convert to fraction form
    942.48/1,297.93 = 680.08/x
  3. Step 3: Cross multiply
    942.48x = 1,297.93 × 680.08
  4. Step 4: Simplify right side
    942.48x = 882,688.04
  5. Step 5: Solve for x
    x = 882,688.04/942.48
  6. Step 6: Final answer
    x = 936.56

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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.