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Finding the Fourth Proportional to 1,111.80, 1,667.72 and 342.28

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Solution

The fourth proportional to 1,111.80, 1,667.72 and 342.28 is: 513.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.80 : 1,667.72 = 342.28 : x
  2. Step 2: Convert to fraction form
    1,111.80/1,667.72 = 342.28/x
  3. Step 3: Cross multiply
    1,111.80x = 1,667.72 × 342.28
  4. Step 4: Simplify right side
    1,111.80x = 570,827.20
  5. Step 5: Solve for x
    x = 570,827.20/1,111.80
  6. Step 6: Final answer
    x = 513.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.