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Finding the Fourth Proportional to 942.03, 1,298.43 and 863.58

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Solution

The fourth proportional to 942.03, 1,298.43 and 863.58 is: 1,190.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.03 : 1,298.43 = 863.58 : x
  2. Step 2: Convert to fraction form
    942.03/1,298.43 = 863.58/x
  3. Step 3: Cross multiply
    942.03x = 1,298.43 × 863.58
  4. Step 4: Simplify right side
    942.03x = 1,121,298.18
  5. Step 5: Solve for x
    x = 1,121,298.18/942.03
  6. Step 6: Final answer
    x = 1,190.30

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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.