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Finding the Fourth Proportional to 1,111.34, 1,667.40 and 803.54

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Solution

The fourth proportional to 1,111.34, 1,667.40 and 803.54 is: 1,205.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.34 : 1,667.40 = 803.54 : x
  2. Step 2: Convert to fraction form
    1,111.34/1,667.40 = 803.54/x
  3. Step 3: Cross multiply
    1,111.34x = 1,667.40 × 803.54
  4. Step 4: Simplify right side
    1,111.34x = 1,339,822.60
  5. Step 5: Solve for x
    x = 1,339,822.60/1,111.34
  6. Step 6: Final answer
    x = 1,205.59

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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.